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Simplifying 4(2x + -8) = 2(6x + 7) Reorder the terms: 4(-8 + 2x) = 2(6x + 7) (-8 * 4 + 2x * 4) = 2(6x + 7) (-32 + 8x) = 2(6x + 7) Reorder the terms: -32 + 8x = 2(7 + 6x) -32 + 8x = (7 * 2 + 6x * 2) -32 + 8x = (14 + 12x) Solving -32 + 8x = 14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -32 + 8x + -12x = 14 + 12x + -12x Combine like terms: 8x + -12x = -4x -32 + -4x = 14 + 12x + -12x Combine like terms: 12x + -12x = 0 -32 + -4x = 14 + 0 -32 + -4x = 14 Add '32' to each side of the equation. -32 + 32 + -4x = 14 + 32 Combine like terms: -32 + 32 = 0 0 + -4x = 14 + 32 -4x = 14 + 32 Combine like terms: 14 + 32 = 46 -4x = 46 Divide each side by '-4'. x = -11.5 Simplifying x = -11.5
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