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Simplifying -2(x + 6) + 5(2x + 6) = 0 Reorder the terms: -2(6 + x) + 5(2x + 6) = 0 (6 * -2 + x * -2) + 5(2x + 6) = 0 (-12 + -2x) + 5(2x + 6) = 0 Reorder the terms: -12 + -2x + 5(6 + 2x) = 0 -12 + -2x + (6 * 5 + 2x * 5) = 0 -12 + -2x + (30 + 10x) = 0 Reorder the terms: -12 + 30 + -2x + 10x = 0 Combine like terms: -12 + 30 = 18 18 + -2x + 10x = 0 Combine like terms: -2x + 10x = 8x 18 + 8x = 0 Solving 18 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 0 + -18 8x = 0 + -18 Combine like terms: 0 + -18 = -18 8x = -18 Divide each side by '8'. x = -2.25 Simplifying x = -2.25
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