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Simplifying 2(x + 3) + -3(x + -7) = 6x + 5 Reorder the terms: 2(3 + x) + -3(x + -7) = 6x + 5 (3 * 2 + x * 2) + -3(x + -7) = 6x + 5 (6 + 2x) + -3(x + -7) = 6x + 5 Reorder the terms: 6 + 2x + -3(-7 + x) = 6x + 5 6 + 2x + (-7 * -3 + x * -3) = 6x + 5 6 + 2x + (21 + -3x) = 6x + 5 Reorder the terms: 6 + 21 + 2x + -3x = 6x + 5 Combine like terms: 6 + 21 = 27 27 + 2x + -3x = 6x + 5 Combine like terms: 2x + -3x = -1x 27 + -1x = 6x + 5 Reorder the terms: 27 + -1x = 5 + 6x Solving 27 + -1x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 27 + -1x + -6x = 5 + 6x + -6x Combine like terms: -1x + -6x = -7x 27 + -7x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 27 + -7x = 5 + 0 27 + -7x = 5 Add '-27' to each side of the equation. 27 + -27 + -7x = 5 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = 5 + -27 -7x = 5 + -27 Combine like terms: 5 + -27 = -22 -7x = -22 Divide each side by '-7'. x = 3.142857143 Simplifying x = 3.142857143
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