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Simplifying 4(x + -8) = 8(2x + 5) Reorder the terms: 4(-8 + x) = 8(2x + 5) (-8 * 4 + x * 4) = 8(2x + 5) (-32 + 4x) = 8(2x + 5) Reorder the terms: -32 + 4x = 8(5 + 2x) -32 + 4x = (5 * 8 + 2x * 8) -32 + 4x = (40 + 16x) Solving -32 + 4x = 40 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -32 + 4x + -16x = 40 + 16x + -16x Combine like terms: 4x + -16x = -12x -32 + -12x = 40 + 16x + -16x Combine like terms: 16x + -16x = 0 -32 + -12x = 40 + 0 -32 + -12x = 40 Add '32' to each side of the equation. -32 + 32 + -12x = 40 + 32 Combine like terms: -32 + 32 = 0 0 + -12x = 40 + 32 -12x = 40 + 32 Combine like terms: 40 + 32 = 72 -12x = 72 Divide each side by '-12'. x = -6 Simplifying x = -6
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