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Simplifying 7x + -1(2x + 3) = 8(x + -1) + -5x Reorder the terms: 7x + -1(3 + 2x) = 8(x + -1) + -5x 7x + (3 * -1 + 2x * -1) = 8(x + -1) + -5x 7x + (-3 + -2x) = 8(x + -1) + -5x Reorder the terms: -3 + 7x + -2x = 8(x + -1) + -5x Combine like terms: 7x + -2x = 5x -3 + 5x = 8(x + -1) + -5x Reorder the terms: -3 + 5x = 8(-1 + x) + -5x -3 + 5x = (-1 * 8 + x * 8) + -5x -3 + 5x = (-8 + 8x) + -5x Combine like terms: 8x + -5x = 3x -3 + 5x = -8 + 3x Solving -3 + 5x = -8 + 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 + 5x + -3x = -8 + 3x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = -8 + 0 -3 + 2x = -8 Add '3' to each side of the equation. -3 + 3 + 2x = -8 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -8 + 3 2x = -8 + 3 Combine like terms: -8 + 3 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5
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