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Simplifying -1x + 4(x + 3) = 4 + 2(x + -3) Reorder the terms: -1x + 4(3 + x) = 4 + 2(x + -3) -1x + (3 * 4 + x * 4) = 4 + 2(x + -3) -1x + (12 + 4x) = 4 + 2(x + -3) Reorder the terms: 12 + -1x + 4x = 4 + 2(x + -3) Combine like terms: -1x + 4x = 3x 12 + 3x = 4 + 2(x + -3) Reorder the terms: 12 + 3x = 4 + 2(-3 + x) 12 + 3x = 4 + (-3 * 2 + x * 2) 12 + 3x = 4 + (-6 + 2x) Combine like terms: 4 + -6 = -2 12 + 3x = -2 + 2x Solving 12 + 3x = -2 + 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. 12 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x 12 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 1x = -2 + 0 12 + 1x = -2 Add '-12' to each side of the equation. 12 + -12 + 1x = -2 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = -2 + -12 1x = -2 + -12 Combine like terms: -2 + -12 = -14 1x = -14 Divide each side by '1'. x = -14 Simplifying x = -14
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