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Simplifying 4(1 + -1x) = 3(2 + -1x) (1 * 4 + -1x * 4) = 3(2 + -1x) (4 + -4x) = 3(2 + -1x) 4 + -4x = (2 * 3 + -1x * 3) 4 + -4x = (6 + -3x) Solving 4 + -4x = 6 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 4 + -4x + 3x = 6 + -3x + 3x Combine like terms: -4x + 3x = -1x 4 + -1x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + -1x = 6 + 0 4 + -1x = 6 Add '-4' to each side of the equation. 4 + -4 + -1x = 6 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 6 + -4 -1x = 6 + -4 Combine like terms: 6 + -4 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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