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Simplifying 5(2x + -1) + -8 = 3(x + 1) + -1x Reorder the terms: 5(-1 + 2x) + -8 = 3(x + 1) + -1x (-1 * 5 + 2x * 5) + -8 = 3(x + 1) + -1x (-5 + 10x) + -8 = 3(x + 1) + -1x Reorder the terms: -5 + -8 + 10x = 3(x + 1) + -1x Combine like terms: -5 + -8 = -13 -13 + 10x = 3(x + 1) + -1x Reorder the terms: -13 + 10x = 3(1 + x) + -1x -13 + 10x = (1 * 3 + x * 3) + -1x -13 + 10x = (3 + 3x) + -1x Combine like terms: 3x + -1x = 2x -13 + 10x = 3 + 2x Solving -13 + 10x = 3 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -13 + 10x + -2x = 3 + 2x + -2x Combine like terms: 10x + -2x = 8x -13 + 8x = 3 + 2x + -2x Combine like terms: 2x + -2x = 0 -13 + 8x = 3 + 0 -13 + 8x = 3 Add '13' to each side of the equation. -13 + 13 + 8x = 3 + 13 Combine like terms: -13 + 13 = 0 0 + 8x = 3 + 13 8x = 3 + 13 Combine like terms: 3 + 13 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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