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Simplifying 3(x + 4) + -2(2 + 2x) = 3(x + -6 + 12 + 2) Reorder the terms: 3(4 + x) + -2(2 + 2x) = 3(x + -6 + 12 + 2) (4 * 3 + x * 3) + -2(2 + 2x) = 3(x + -6 + 12 + 2) (12 + 3x) + -2(2 + 2x) = 3(x + -6 + 12 + 2) 12 + 3x + (2 * -2 + 2x * -2) = 3(x + -6 + 12 + 2) 12 + 3x + (-4 + -4x) = 3(x + -6 + 12 + 2) Reorder the terms: 12 + -4 + 3x + -4x = 3(x + -6 + 12 + 2) Combine like terms: 12 + -4 = 8 8 + 3x + -4x = 3(x + -6 + 12 + 2) Combine like terms: 3x + -4x = -1x 8 + -1x = 3(x + -6 + 12 + 2) Reorder the terms: 8 + -1x = 3(-6 + 12 + 2 + x) Combine like terms: -6 + 12 = 6 8 + -1x = 3(6 + 2 + x) Combine like terms: 6 + 2 = 8 8 + -1x = 3(8 + x) 8 + -1x = (8 * 3 + x * 3) 8 + -1x = (24 + 3x) Solving 8 + -1x = 24 + 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. 8 + -1x + -3x = 24 + 3x + -3x Combine like terms: -1x + -3x = -4x 8 + -4x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -4x = 24 + 0 8 + -4x = 24 Add '-8' to each side of the equation. 8 + -8 + -4x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 24 + -8 -4x = 24 + -8 Combine like terms: 24 + -8 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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