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Simplifying 5x + -4(7x + -3) + 17 = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 Reorder the terms: 5x + -4(-3 + 7x) + 17 = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 5x + (-3 * -4 + 7x * -4) + 17 = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 5x + (12 + -28x) + 17 = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 Reorder the terms: 12 + 17 + 5x + -28x = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 Combine like terms: 12 + 17 = 29 29 + 5x + -28x = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 Combine like terms: 5x + -28x = -23x 29 + -23x = 6(9x + -7) + -3(9x + -7) + -3(8x + 5) + -20 Reorder the terms: 29 + -23x = 6(-7 + 9x) + -3(9x + -7) + -3(8x + 5) + -20 29 + -23x = (-7 * 6 + 9x * 6) + -3(9x + -7) + -3(8x + 5) + -20 29 + -23x = (-42 + 54x) + -3(9x + -7) + -3(8x + 5) + -20 Reorder the terms: 29 + -23x = -42 + 54x + -3(-7 + 9x) + -3(8x + 5) + -20 29 + -23x = -42 + 54x + (-7 * -3 + 9x * -3) + -3(8x + 5) + -20 29 + -23x = -42 + 54x + (21 + -27x) + -3(8x + 5) + -20 Reorder the terms: 29 + -23x = -42 + 54x + 21 + -27x + -3(5 + 8x) + -20 29 + -23x = -42 + 54x + 21 + -27x + (5 * -3 + 8x * -3) + -20 29 + -23x = -42 + 54x + 21 + -27x + (-15 + -24x) + -20 Reorder the terms: 29 + -23x = -42 + 21 + -15 + -20 + 54x + -27x + -24x Combine like terms: -42 + 21 = -21 29 + -23x = -21 + -15 + -20 + 54x + -27x + -24x Combine like terms: -21 + -15 = -36 29 + -23x = -36 + -20 + 54x + -27x + -24x Combine like terms: -36 + -20 = -56 29 + -23x = -56 + 54x + -27x + -24x Combine like terms: 54x + -27x = 27x 29 + -23x = -56 + 27x + -24x Combine like terms: 27x + -24x = 3x 29 + -23x = -56 + 3x Solving 29 + -23x = -56 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 29 + -23x + -3x = -56 + 3x + -3x Combine like terms: -23x + -3x = -26x 29 + -26x = -56 + 3x + -3x Combine like terms: 3x + -3x = 0 29 + -26x = -56 + 0 29 + -26x = -56 Add '-29' to each side of the equation. 29 + -29 + -26x = -56 + -29 Combine like terms: 29 + -29 = 0 0 + -26x = -56 + -29 -26x = -56 + -29 Combine like terms: -56 + -29 = -85 -26x = -85 Divide each side by '-26'. x = 3.269230769 Simplifying x = 3.269230769
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