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Simplifying -6(4x + -7) + 5(5x + -5) + -8 = 4 + -7 Reorder the terms: -6(-7 + 4x) + 5(5x + -5) + -8 = 4 + -7 (-7 * -6 + 4x * -6) + 5(5x + -5) + -8 = 4 + -7 (42 + -24x) + 5(5x + -5) + -8 = 4 + -7 Reorder the terms: 42 + -24x + 5(-5 + 5x) + -8 = 4 + -7 42 + -24x + (-5 * 5 + 5x * 5) + -8 = 4 + -7 42 + -24x + (-25 + 25x) + -8 = 4 + -7 Reorder the terms: 42 + -25 + -8 + -24x + 25x = 4 + -7 Combine like terms: 42 + -25 = 17 17 + -8 + -24x + 25x = 4 + -7 Combine like terms: 17 + -8 = 9 9 + -24x + 25x = 4 + -7 Combine like terms: -24x + 25x = 1x 9 + 1x = 4 + -7 Combine like terms: 4 + -7 = -3 9 + 1x = -3 Solving 9 + 1x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 1x = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 1x = -3 + -9 1x = -3 + -9 Combine like terms: -3 + -9 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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