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Simplifying 8x + -1(2x + 4) = 7x + -32 Reorder the terms: 8x + -1(4 + 2x) = 7x + -32 8x + (4 * -1 + 2x * -1) = 7x + -32 8x + (-4 + -2x) = 7x + -32 Reorder the terms: -4 + 8x + -2x = 7x + -32 Combine like terms: 8x + -2x = 6x -4 + 6x = 7x + -32 Reorder the terms: -4 + 6x = -32 + 7x Solving -4 + 6x = -32 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -4 + 6x + -7x = -32 + 7x + -7x Combine like terms: 6x + -7x = -1x -4 + -1x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -1x = -32 + 0 -4 + -1x = -32 Add '4' to each side of the equation. -4 + 4 + -1x = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = -32 + 4 -1x = -32 + 4 Combine like terms: -32 + 4 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28
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