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