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Simplifying 2(x + 4) = 8 + -6(x + -4) Reorder the terms: 2(4 + x) = 8 + -6(x + -4) (4 * 2 + x * 2) = 8 + -6(x + -4) (8 + 2x) = 8 + -6(x + -4) Reorder the terms: 8 + 2x = 8 + -6(-4 + x) 8 + 2x = 8 + (-4 * -6 + x * -6) 8 + 2x = 8 + (24 + -6x) Combine like terms: 8 + 24 = 32 8 + 2x = 32 + -6x Solving 8 + 2x = 32 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 8 + 2x + 6x = 32 + -6x + 6x Combine like terms: 2x + 6x = 8x 8 + 8x = 32 + -6x + 6x Combine like terms: -6x + 6x = 0 8 + 8x = 32 + 0 8 + 8x = 32 Add '-8' to each side of the equation. 8 + -8 + 8x = 32 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 32 + -8 8x = 32 + -8 Combine like terms: 32 + -8 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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