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Simplifying 5x + -3(3x + -7) = 4(3x + -7) + 8x Reorder the terms: 5x + -3(-7 + 3x) = 4(3x + -7) + 8x 5x + (-7 * -3 + 3x * -3) = 4(3x + -7) + 8x 5x + (21 + -9x) = 4(3x + -7) + 8x Reorder the terms: 21 + 5x + -9x = 4(3x + -7) + 8x Combine like terms: 5x + -9x = -4x 21 + -4x = 4(3x + -7) + 8x Reorder the terms: 21 + -4x = 4(-7 + 3x) + 8x 21 + -4x = (-7 * 4 + 3x * 4) + 8x 21 + -4x = (-28 + 12x) + 8x Combine like terms: 12x + 8x = 20x 21 + -4x = -28 + 20x Solving 21 + -4x = -28 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 21 + -4x + -20x = -28 + 20x + -20x Combine like terms: -4x + -20x = -24x 21 + -24x = -28 + 20x + -20x Combine like terms: 20x + -20x = 0 21 + -24x = -28 + 0 21 + -24x = -28 Add '-21' to each side of the equation. 21 + -21 + -24x = -28 + -21 Combine like terms: 21 + -21 = 0 0 + -24x = -28 + -21 -24x = -28 + -21 Combine like terms: -28 + -21 = -49 -24x = -49 Divide each side by '-24'. x = 2.041666667 Simplifying x = 2.041666667
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