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Simplifying 3(x + 4) + -1(2x + 2) = 4(x + 4) Reorder the terms: 3(4 + x) + -1(2x + 2) = 4(x + 4) (4 * 3 + x * 3) + -1(2x + 2) = 4(x + 4) (12 + 3x) + -1(2x + 2) = 4(x + 4) Reorder the terms: 12 + 3x + -1(2 + 2x) = 4(x + 4) 12 + 3x + (2 * -1 + 2x * -1) = 4(x + 4) 12 + 3x + (-2 + -2x) = 4(x + 4) Reorder the terms: 12 + -2 + 3x + -2x = 4(x + 4) Combine like terms: 12 + -2 = 10 10 + 3x + -2x = 4(x + 4) Combine like terms: 3x + -2x = 1x 10 + 1x = 4(x + 4) Reorder the terms: 10 + 1x = 4(4 + x) 10 + 1x = (4 * 4 + x * 4) 10 + 1x = (16 + 4x) Solving 10 + 1x = 16 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 10 + 1x + -4x = 16 + 4x + -4x Combine like terms: 1x + -4x = -3x 10 + -3x = 16 + 4x + -4x Combine like terms: 4x + -4x = 0 10 + -3x = 16 + 0 10 + -3x = 16 Add '-10' to each side of the equation. 10 + -10 + -3x = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 16 + -10 -3x = 16 + -10 Combine like terms: 16 + -10 = 6 -3x = 6 Divide each side by '-3'. x = -2 Simplifying x = -2
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