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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 = 6x -32 + 6x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 -32 + 6x = 12 + 0 -32 + 6x = 12 Add '32' to each side of the equation. -32 + 32 + 6x = 12 + 32 Combine like terms: -32 + 32 = 0 0 + 6x = 12 + 32 6x = 12 + 32 Combine like terms: 12 + 32 = 44 6x = 44 Divide each side by '6'. x = 7.333333333 Simplifying x = 7.333333333
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