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Simplifying -3x + -2(1 + -1x) = -5x + 4(1 + -1x) -3x + (1 * -2 + -1x * -2) = -5x + 4(1 + -1x) -3x + (-2 + 2x) = -5x + 4(1 + -1x) Reorder the terms: -2 + -3x + 2x = -5x + 4(1 + -1x) Combine like terms: -3x + 2x = -1x -2 + -1x = -5x + 4(1 + -1x) -2 + -1x = -5x + (1 * 4 + -1x * 4) -2 + -1x = -5x + (4 + -4x) Reorder the terms: -2 + -1x = 4 + -5x + -4x Combine like terms: -5x + -4x = -9x -2 + -1x = 4 + -9x Solving -2 + -1x = 4 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -2 + -1x + 9x = 4 + -9x + 9x Combine like terms: -1x + 9x = 8x -2 + 8x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 -2 + 8x = 4 + 0 -2 + 8x = 4 Add '2' to each side of the equation. -2 + 2 + 8x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 4 + 2 8x = 4 + 2 Combine like terms: 4 + 2 = 6 8x = 6 Divide each side by '8'. x = 0.75 Simplifying x = 0.75
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