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Simplifying -5x + 42 = -8(x + -9) Reorder the terms: 42 + -5x = -8(x + -9) Reorder the terms: 42 + -5x = -8(-9 + x) 42 + -5x = (-9 * -8 + x * -8) 42 + -5x = (72 + -8x) Solving 42 + -5x = 72 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 42 + -5x + 8x = 72 + -8x + 8x Combine like terms: -5x + 8x = 3x 42 + 3x = 72 + -8x + 8x Combine like terms: -8x + 8x = 0 42 + 3x = 72 + 0 42 + 3x = 72 Add '-42' to each side of the equation. 42 + -42 + 3x = 72 + -42 Combine like terms: 42 + -42 = 0 0 + 3x = 72 + -42 3x = 72 + -42 Combine like terms: 72 + -42 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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