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Simplifying 4x + -12 = x + 2(x + -9) Reorder the terms: -12 + 4x = x + 2(x + -9) Reorder the terms: -12 + 4x = x + 2(-9 + x) -12 + 4x = x + (-9 * 2 + x * 2) -12 + 4x = x + (-18 + 2x) Reorder the terms: -12 + 4x = -18 + x + 2x Combine like terms: x + 2x = 3x -12 + 4x = -18 + 3x Solving -12 + 4x = -18 + 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. -12 + 4x + -3x = -18 + 3x + -3x Combine like terms: 4x + -3x = 1x -12 + 1x = -18 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 1x = -18 + 0 -12 + 1x = -18 Add '12' to each side of the equation. -12 + 12 + 1x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = -18 + 12 1x = -18 + 12 Combine like terms: -18 + 12 = -6 1x = -6 Divide each side by '1'. x = -6 Simplifying x = -6
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