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Simplifying (3x + 4) + -2(x + -4) = 5x Reorder the terms: (4 + 3x) + -2(x + -4) = 5x Remove parenthesis around (4 + 3x) 4 + 3x + -2(x + -4) = 5x Reorder the terms: 4 + 3x + -2(-4 + x) = 5x 4 + 3x + (-4 * -2 + x * -2) = 5x 4 + 3x + (8 + -2x) = 5x Reorder the terms: 4 + 8 + 3x + -2x = 5x Combine like terms: 4 + 8 = 12 12 + 3x + -2x = 5x Combine like terms: 3x + -2x = 1x 12 + 1x = 5x Solving 12 + 1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x 12 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 12 + -4x = 0 Add '-12' to each side of the equation. 12 + -12 + -4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 0 + -12 -4x = 0 + -12 Combine like terms: 0 + -12 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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