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Simplifying 4(1 + -1x) + 3x = -2(x + 1) + -1(x + -3) (1 * 4 + -1x * 4) + 3x = -2(x + 1) + -1(x + -3) (4 + -4x) + 3x = -2(x + 1) + -1(x + -3) Combine like terms: -4x + 3x = -1x 4 + -1x = -2(x + 1) + -1(x + -3) Reorder the terms: 4 + -1x = -2(1 + x) + -1(x + -3) 4 + -1x = (1 * -2 + x * -2) + -1(x + -3) 4 + -1x = (-2 + -2x) + -1(x + -3) Reorder the terms: 4 + -1x = -2 + -2x + -1(-3 + x) 4 + -1x = -2 + -2x + (-3 * -1 + x * -1) 4 + -1x = -2 + -2x + (3 + -1x) Reorder the terms: 4 + -1x = -2 + 3 + -2x + -1x Combine like terms: -2 + 3 = 1 4 + -1x = 1 + -2x + -1x Combine like terms: -2x + -1x = -3x 4 + -1x = 1 + -3x Solving 4 + -1x = 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 + -1x + 3x = 1 + -3x + 3x Combine like terms: -1x + 3x = 2x 4 + 2x = 1 + -3x + 3x Combine like terms: -3x + 3x = 0 4 + 2x = 1 + 0 4 + 2x = 1 Add '-4' to each side of the equation. 4 + -4 + 2x = 1 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 1 + -4 2x = 1 + -4 Combine like terms: 1 + -4 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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