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Simplifying 3(x + -1) + 5x = 2(x + -1) Reorder the terms: 3(-1 + x) + 5x = 2(x + -1) (-1 * 3 + x * 3) + 5x = 2(x + -1) (-3 + 3x) + 5x = 2(x + -1) Combine like terms: 3x + 5x = 8x -3 + 8x = 2(x + -1) Reorder the terms: -3 + 8x = 2(-1 + x) -3 + 8x = (-1 * 2 + x * 2) -3 + 8x = (-2 + 2x) Solving -3 + 8x = -2 + 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. -3 + 8x + -2x = -2 + 2x + -2x Combine like terms: 8x + -2x = 6x -3 + 6x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 6x = -2 + 0 -3 + 6x = -2 Add '3' to each side of the equation. -3 + 3 + 6x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + 6x = -2 + 3 6x = -2 + 3 Combine like terms: -2 + 3 = 1 6x = 1 Divide each side by '6'. x = 0.1666666667 Simplifying x = 0.1666666667
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