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Simplifying 4x + 12 + -3(x + 4) = 2(x + 5) Reorder the terms: 4x + 12 + -3(4 + x) = 2(x + 5) 4x + 12 + (4 * -3 + x * -3) = 2(x + 5) 4x + 12 + (-12 + -3x) = 2(x + 5) Reorder the terms: 12 + -12 + 4x + -3x = 2(x + 5) Combine like terms: 12 + -12 = 0 0 + 4x + -3x = 2(x + 5) 4x + -3x = 2(x + 5) Combine like terms: 4x + -3x = 1x 1x = 2(x + 5) Reorder the terms: 1x = 2(5 + x) 1x = (5 * 2 + x * 2) 1x = (10 + 2x) Solving 1x = 10 + 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. 1x + -2x = 10 + 2x + -2x Combine like terms: 1x + -2x = -1x -1x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 10 + 0 -1x = 10 Divide each side by '-1'. x = -10 Simplifying x = -10
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