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Simplifying 8(x + 4) = -2(x + 6) Reorder the terms: 8(4 + x) = -2(x + 6) (4 * 8 + x * 8) = -2(x + 6) (32 + 8x) = -2(x + 6) Reorder the terms: 32 + 8x = -2(6 + x) 32 + 8x = (6 * -2 + x * -2) 32 + 8x = (-12 + -2x) Solving 32 + 8x = -12 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 32 + 8x + 2x = -12 + -2x + 2x Combine like terms: 8x + 2x = 10x 32 + 10x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 32 + 10x = -12 + 0 32 + 10x = -12 Add '-32' to each side of the equation. 32 + -32 + 10x = -12 + -32 Combine like terms: 32 + -32 = 0 0 + 10x = -12 + -32 10x = -12 + -32 Combine like terms: -12 + -32 = -44 10x = -44 Divide each side by '10'. x = -4.4 Simplifying x = -4.4
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