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Simplifying 2(4x + -8) = 3(4x + 4) Reorder the terms: 2(-8 + 4x) = 3(4x + 4) (-8 * 2 + 4x * 2) = 3(4x + 4) (-16 + 8x) = 3(4x + 4) Reorder the terms: -16 + 8x = 3(4 + 4x) -16 + 8x = (4 * 3 + 4x * 3) -16 + 8x = (12 + 12x) Solving -16 + 8x = 12 + 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. -16 + 8x + -12x = 12 + 12x + -12x Combine like terms: 8x + -12x = -4x -16 + -4x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 -16 + -4x = 12 + 0 -16 + -4x = 12 Add '16' to each side of the equation. -16 + 16 + -4x = 12 + 16 Combine like terms: -16 + 16 = 0 0 + -4x = 12 + 16 -4x = 12 + 16 Combine like terms: 12 + 16 = 28 -4x = 28 Divide each side by '-4'. x = -7 Simplifying x = -7
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