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Simplifying 4(x + -8) + -7(2x + 5) = 5 + -1x Reorder the terms: 4(-8 + x) + -7(2x + 5) = 5 + -1x (-8 * 4 + x * 4) + -7(2x + 5) = 5 + -1x (-32 + 4x) + -7(2x + 5) = 5 + -1x Reorder the terms: -32 + 4x + -7(5 + 2x) = 5 + -1x -32 + 4x + (5 * -7 + 2x * -7) = 5 + -1x -32 + 4x + (-35 + -14x) = 5 + -1x Reorder the terms: -32 + -35 + 4x + -14x = 5 + -1x Combine like terms: -32 + -35 = -67 -67 + 4x + -14x = 5 + -1x Combine like terms: 4x + -14x = -10x -67 + -10x = 5 + -1x Solving -67 + -10x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -67 + -10x + x = 5 + -1x + x Combine like terms: -10x + x = -9x -67 + -9x = 5 + -1x + x Combine like terms: -1x + x = 0 -67 + -9x = 5 + 0 -67 + -9x = 5 Add '67' to each side of the equation. -67 + 67 + -9x = 5 + 67 Combine like terms: -67 + 67 = 0 0 + -9x = 5 + 67 -9x = 5 + 67 Combine like terms: 5 + 67 = 72 -9x = 72 Divide each side by '-9'. x = -8 Simplifying x = -8
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