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Simplifying 7x + -1(8x + 5) = 2x + -32 Reorder the terms: 7x + -1(5 + 8x) = 2x + -32 7x + (5 * -1 + 8x * -1) = 2x + -32 7x + (-5 + -8x) = 2x + -32 Reorder the terms: -5 + 7x + -8x = 2x + -32 Combine like terms: 7x + -8x = -1x -5 + -1x = 2x + -32 Reorder the terms: -5 + -1x = -32 + 2x Solving -5 + -1x = -32 + 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. -5 + -1x + -2x = -32 + 2x + -2x Combine like terms: -1x + -2x = -3x -5 + -3x = -32 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + -3x = -32 + 0 -5 + -3x = -32 Add '5' to each side of the equation. -5 + 5 + -3x = -32 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -32 + 5 -3x = -32 + 5 Combine like terms: -32 + 5 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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