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Simplifying 4x + 3(1 + -1x) = 6x + 2(1 + -1x) 4x + (1 * 3 + -1x * 3) = 6x + 2(1 + -1x) 4x + (3 + -3x) = 6x + 2(1 + -1x) Reorder the terms: 3 + 4x + -3x = 6x + 2(1 + -1x) Combine like terms: 4x + -3x = 1x 3 + 1x = 6x + 2(1 + -1x) 3 + 1x = 6x + (1 * 2 + -1x * 2) 3 + 1x = 6x + (2 + -2x) Reorder the terms: 3 + 1x = 2 + 6x + -2x Combine like terms: 6x + -2x = 4x 3 + 1x = 2 + 4x Solving 3 + 1x = 2 + 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. 3 + 1x + -4x = 2 + 4x + -4x Combine like terms: 1x + -4x = -3x 3 + -3x = 2 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -3x = 2 + 0 3 + -3x = 2 Add '-3' to each side of the equation. 3 + -3 + -3x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -3x = 2 + -3 -3x = 2 + -3 Combine like terms: 2 + -3 = -1 -3x = -1 Divide each side by '-3'. x = 0.3333333333 Simplifying x = 0.3333333333
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