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Simplifying x + 2 = 3(x + -4) Reorder the terms: 2 + x = 3(x + -4) Reorder the terms: 2 + x = 3(-4 + x) 2 + x = (-4 * 3 + x * 3) 2 + x = (-12 + 3x) Solving 2 + x = -12 + 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. 2 + x + -3x = -12 + 3x + -3x Combine like terms: x + -3x = -2x 2 + -2x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -2x = -12 + 0 2 + -2x = -12 Add '-2' to each side of the equation. 2 + -2 + -2x = -12 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -12 + -2 -2x = -12 + -2 Combine like terms: -12 + -2 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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