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Simplifying 8(2x + 2) = 6(2x + -4) Reorder the terms: 8(2 + 2x) = 6(2x + -4) (2 * 8 + 2x * 8) = 6(2x + -4) (16 + 16x) = 6(2x + -4) Reorder the terms: 16 + 16x = 6(-4 + 2x) 16 + 16x = (-4 * 6 + 2x * 6) 16 + 16x = (-24 + 12x) Solving 16 + 16x = -24 + 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 + 16x + -12x = -24 + 12x + -12x Combine like terms: 16x + -12x = 4x 16 + 4x = -24 + 12x + -12x Combine like terms: 12x + -12x = 0 16 + 4x = -24 + 0 16 + 4x = -24 Add '-16' to each side of the equation. 16 + -16 + 4x = -24 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = -24 + -16 4x = -24 + -16 Combine like terms: -24 + -16 = -40 4x = -40 Divide each side by '4'. x = -10 Simplifying x = -10
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