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Simplifying 3x + 5(x + -1) = 7x + 3x + -2 Reorder the terms: 3x + 5(-1 + x) = 7x + 3x + -2 3x + (-1 * 5 + x * 5) = 7x + 3x + -2 3x + (-5 + 5x) = 7x + 3x + -2 Reorder the terms: -5 + 3x + 5x = 7x + 3x + -2 Combine like terms: 3x + 5x = 8x -5 + 8x = 7x + 3x + -2 Reorder the terms: -5 + 8x = -2 + 7x + 3x Combine like terms: 7x + 3x = 10x -5 + 8x = -2 + 10x Solving -5 + 8x = -2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -5 + 8x + -10x = -2 + 10x + -10x Combine like terms: 8x + -10x = -2x -5 + -2x = -2 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -2x = -2 + 0 -5 + -2x = -2 Add '5' to each side of the equation. -5 + 5 + -2x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -2 + 5 -2x = -2 + 5 Combine like terms: -2 + 5 = 3 -2x = 3 Divide each side by '-2'. x = -1.5 Simplifying x = -1.5
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