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Simplifying -8x + 3(2x + -1) = 5(x + 1) + -2x Reorder the terms: -8x + 3(-1 + 2x) = 5(x + 1) + -2x -8x + (-1 * 3 + 2x * 3) = 5(x + 1) + -2x -8x + (-3 + 6x) = 5(x + 1) + -2x Reorder the terms: -3 + -8x + 6x = 5(x + 1) + -2x Combine like terms: -8x + 6x = -2x -3 + -2x = 5(x + 1) + -2x Reorder the terms: -3 + -2x = 5(1 + x) + -2x -3 + -2x = (1 * 5 + x * 5) + -2x -3 + -2x = (5 + 5x) + -2x Combine like terms: 5x + -2x = 3x -3 + -2x = 5 + 3x Solving -3 + -2x = 5 + 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. -3 + -2x + -3x = 5 + 3x + -3x Combine like terms: -2x + -3x = -5x -3 + -5x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + -5x = 5 + 0 -3 + -5x = 5 Add '3' to each side of the equation. -3 + 3 + -5x = 5 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 5 + 3 -5x = 5 + 3 Combine like terms: 5 + 3 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6
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