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Simplifying 4x + -1(x + -2) = -3x + -1(2x + -3) Reorder the terms: 4x + -1(-2 + x) = -3x + -1(2x + -3) 4x + (-2 * -1 + x * -1) = -3x + -1(2x + -3) 4x + (2 + -1x) = -3x + -1(2x + -3) Reorder the terms: 2 + 4x + -1x = -3x + -1(2x + -3) Combine like terms: 4x + -1x = 3x 2 + 3x = -3x + -1(2x + -3) Reorder the terms: 2 + 3x = -3x + -1(-3 + 2x) 2 + 3x = -3x + (-3 * -1 + 2x * -1) 2 + 3x = -3x + (3 + -2x) Reorder the terms: 2 + 3x = 3 + -3x + -2x Combine like terms: -3x + -2x = -5x 2 + 3x = 3 + -5x Solving 2 + 3x = 3 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 2 + 3x + 5x = 3 + -5x + 5x Combine like terms: 3x + 5x = 8x 2 + 8x = 3 + -5x + 5x Combine like terms: -5x + 5x = 0 2 + 8x = 3 + 0 2 + 8x = 3 Add '-2' to each side of the equation. 2 + -2 + 8x = 3 + -2 Combine like terms: 2 + -2 = 0 0 + 8x = 3 + -2 8x = 3 + -2 Combine like terms: 3 + -2 = 1 8x = 1 Divide each side by '8'. x = 0.125 Simplifying x = 0.125
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