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