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Simplifying 4(-1x + 1) + 5x + -2 = -2x + -1x Reorder the terms: 4(1 + -1x) + 5x + -2 = -2x + -1x (1 * 4 + -1x * 4) + 5x + -2 = -2x + -1x (4 + -4x) + 5x + -2 = -2x + -1x Reorder the terms: 4 + -2 + -4x + 5x = -2x + -1x Combine like terms: 4 + -2 = 2 2 + -4x + 5x = -2x + -1x Combine like terms: -4x + 5x = 1x 2 + 1x = -2x + -1x Combine like terms: -2x + -1x = -3x 2 + 1x = -3x Solving 2 + 1x = -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. 2 + 1x + 3x = -3x + 3x Combine like terms: 1x + 3x = 4x 2 + 4x = -3x + 3x Combine like terms: -3x + 3x = 0 2 + 4x = 0 Add '-2' to each side of the equation. 2 + -2 + 4x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x = 0 + -2 4x = 0 + -2 Combine like terms: 0 + -2 = -2 4x = -2 Divide each side by '4'. x = -0.5 Simplifying x = -0.5
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