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Simplifying -8(x + -9) = 7x + 42 Reorder the terms: -8(-9 + x) = 7x + 42 (-9 * -8 + x * -8) = 7x + 42 (72 + -8x) = 7x + 42 Reorder the terms: 72 + -8x = 42 + 7x Solving 72 + -8x = 42 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 72 + -8x + -7x = 42 + 7x + -7x Combine like terms: -8x + -7x = -15x 72 + -15x = 42 + 7x + -7x Combine like terms: 7x + -7x = 0 72 + -15x = 42 + 0 72 + -15x = 42 Add '-72' to each side of the equation. 72 + -72 + -15x = 42 + -72 Combine like terms: 72 + -72 = 0 0 + -15x = 42 + -72 -15x = 42 + -72 Combine like terms: 42 + -72 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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