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Simplifying x + 3 = 2(x + -6) Reorder the terms: 3 + x = 2(x + -6) Reorder the terms: 3 + x = 2(-6 + x) 3 + x = (-6 * 2 + x * 2) 3 + x = (-12 + 2x) Solving 3 + x = -12 + 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. 3 + x + -2x = -12 + 2x + -2x Combine like terms: x + -2x = -1x 3 + -1x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -1x = -12 + 0 3 + -1x = -12 Add '-3' to each side of the equation. 3 + -3 + -1x = -12 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = -12 + -3 -1x = -12 + -3 Combine like terms: -12 + -3 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15
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