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Simplifying -3(x + -4) + 15 = -5(x + -7) + -10 Reorder the terms: -3(-4 + x) + 15 = -5(x + -7) + -10 (-4 * -3 + x * -3) + 15 = -5(x + -7) + -10 (12 + -3x) + 15 = -5(x + -7) + -10 Reorder the terms: 12 + 15 + -3x = -5(x + -7) + -10 Combine like terms: 12 + 15 = 27 27 + -3x = -5(x + -7) + -10 Reorder the terms: 27 + -3x = -5(-7 + x) + -10 27 + -3x = (-7 * -5 + x * -5) + -10 27 + -3x = (35 + -5x) + -10 Reorder the terms: 27 + -3x = 35 + -10 + -5x Combine like terms: 35 + -10 = 25 27 + -3x = 25 + -5x Solving 27 + -3x = 25 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 27 + -3x + 5x = 25 + -5x + 5x Combine like terms: -3x + 5x = 2x 27 + 2x = 25 + -5x + 5x Combine like terms: -5x + 5x = 0 27 + 2x = 25 + 0 27 + 2x = 25 Add '-27' to each side of the equation. 27 + -27 + 2x = 25 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 25 + -27 2x = 25 + -27 Combine like terms: 25 + -27 = -2 2x = -2 Divide each side by '2'. x = -1 Simplifying x = -1
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