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Simplifying 7x + -1(6x + 8) = 5x + -32 Reorder the terms: 7x + -1(8 + 6x) = 5x + -32 7x + (8 * -1 + 6x * -1) = 5x + -32 7x + (-8 + -6x) = 5x + -32 Reorder the terms: -8 + 7x + -6x = 5x + -32 Combine like terms: 7x + -6x = 1x -8 + 1x = 5x + -32 Reorder the terms: -8 + 1x = -32 + 5x Solving -8 + 1x = -32 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -8 + 1x + -5x = -32 + 5x + -5x Combine like terms: 1x + -5x = -4x -8 + -4x = -32 + 5x + -5x Combine like terms: 5x + -5x = 0 -8 + -4x = -32 + 0 -8 + -4x = -32 Add '8' to each side of the equation. -8 + 8 + -4x = -32 + 8 Combine like terms: -8 + 8 = 0 0 + -4x = -32 + 8 -4x = -32 + 8 Combine like terms: -32 + 8 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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