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Simplifying 4x + -2(x + -9) = 3(x + 7) Reorder the terms: 4x + -2(-9 + x) = 3(x + 7) 4x + (-9 * -2 + x * -2) = 3(x + 7) 4x + (18 + -2x) = 3(x + 7) Reorder the terms: 18 + 4x + -2x = 3(x + 7) Combine like terms: 4x + -2x = 2x 18 + 2x = 3(x + 7) Reorder the terms: 18 + 2x = 3(7 + x) 18 + 2x = (7 * 3 + x * 3) 18 + 2x = (21 + 3x) Solving 18 + 2x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 2x + -3x = 21 + 3x + -3x Combine like terms: 2x + -3x = -1x 18 + -1x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + -1x = 21 + 0 18 + -1x = 21 Add '-18' to each side of the equation. 18 + -18 + -1x = 21 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 21 + -18 -1x = 21 + -18 Combine like terms: 21 + -18 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3
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