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Simplifying 4(1 + -1x) = 3(x + 1) + -2 (1 * 4 + -1x * 4) = 3(x + 1) + -2 (4 + -4x) = 3(x + 1) + -2 Reorder the terms: 4 + -4x = 3(1 + x) + -2 4 + -4x = (1 * 3 + x * 3) + -2 4 + -4x = (3 + 3x) + -2 Reorder the terms: 4 + -4x = 3 + -2 + 3x Combine like terms: 3 + -2 = 1 4 + -4x = 1 + 3x Solving 4 + -4x = 1 + 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 = 1 + 3x + -3x Combine like terms: -4x + -3x = -7x 4 + -7x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + -7x = 1 + 0 4 + -7x = 1 Add '-4' to each side of the equation. 4 + -4 + -7x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = 1 + -4 -7x = 1 + -4 Combine like terms: 1 + -4 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286
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