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Simplifying 3 + 4(x + 2) = 2x + 3(x + 4) Reorder the terms: 3 + 4(2 + x) = 2x + 3(x + 4) 3 + (2 * 4 + x * 4) = 2x + 3(x + 4) 3 + (8 + 4x) = 2x + 3(x + 4) Combine like terms: 3 + 8 = 11 11 + 4x = 2x + 3(x + 4) Reorder the terms: 11 + 4x = 2x + 3(4 + x) 11 + 4x = 2x + (4 * 3 + x * 3) 11 + 4x = 2x + (12 + 3x) Reorder the terms: 11 + 4x = 12 + 2x + 3x Combine like terms: 2x + 3x = 5x 11 + 4x = 12 + 5x Solving 11 + 4x = 12 + 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. 11 + 4x + -5x = 12 + 5x + -5x Combine like terms: 4x + -5x = -1x 11 + -1x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 11 + -1x = 12 + 0 11 + -1x = 12 Add '-11' to each side of the equation. 11 + -11 + -1x = 12 + -11 Combine like terms: 11 + -11 = 0 0 + -1x = 12 + -11 -1x = 12 + -11 Combine like terms: 12 + -11 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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