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Simplifying 4(x + -8) = 7(-5 + x) + -6x Reorder the terms: 4(-8 + x) = 7(-5 + x) + -6x (-8 * 4 + x * 4) = 7(-5 + x) + -6x (-32 + 4x) = 7(-5 + x) + -6x -32 + 4x = (-5 * 7 + x * 7) + -6x -32 + 4x = (-35 + 7x) + -6x Combine like terms: 7x + -6x = 1x -32 + 4x = -35 + 1x Solving -32 + 4x = -35 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -32 + 4x + -1x = -35 + 1x + -1x Combine like terms: 4x + -1x = 3x -32 + 3x = -35 + 1x + -1x Combine like terms: 1x + -1x = 0 -32 + 3x = -35 + 0 -32 + 3x = -35 Add '32' to each side of the equation. -32 + 32 + 3x = -35 + 32 Combine like terms: -32 + 32 = 0 0 + 3x = -35 + 32 3x = -35 + 32 Combine like terms: -35 + 32 = -3 3x = -3 Divide each side by '3'. x = -1 Simplifying x = -1
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