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Simplifying -4x + 42 = 2(x + -9) Reorder the terms: 42 + -4x = 2(x + -9) Reorder the terms: 42 + -4x = 2(-9 + x) 42 + -4x = (-9 * 2 + x * 2) 42 + -4x = (-18 + 2x) Solving 42 + -4x = -18 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 42 + -4x + -2x = -18 + 2x + -2x Combine like terms: -4x + -2x = -6x 42 + -6x = -18 + 2x + -2x Combine like terms: 2x + -2x = 0 42 + -6x = -18 + 0 42 + -6x = -18 Add '-42' to each side of the equation. 42 + -42 + -6x = -18 + -42 Combine like terms: 42 + -42 = 0 0 + -6x = -18 + -42 -6x = -18 + -42 Combine like terms: -18 + -42 = -60 -6x = -60 Divide each side by '-6'. x = 10 Simplifying x = 10
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