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Simplifying 8(2x + -4) = -2(x + 6) Reorder the terms: 8(-4 + 2x) = -2(x + 6) (-4 * 8 + 2x * 8) = -2(x + 6) (-32 + 16x) = -2(x + 6) Reorder the terms: -32 + 16x = -2(6 + x) -32 + 16x = (6 * -2 + x * -2) -32 + 16x = (-12 + -2x) Solving -32 + 16x = -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 + 16x + 2x = -12 + -2x + 2x Combine like terms: 16x + 2x = 18x -32 + 18x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 -32 + 18x = -12 + 0 -32 + 18x = -12 Add '32' to each side of the equation. -32 + 32 + 18x = -12 + 32 Combine like terms: -32 + 32 = 0 0 + 18x = -12 + 32 18x = -12 + 32 Combine like terms: -12 + 32 = 20 18x = 20 Divide each side by '18'. x = 1.111111111 Simplifying x = 1.111111111
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