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Simplifying 10(x + 2) = -2(6 + -9x) Reorder the terms: 10(2 + x) = -2(6 + -9x) (2 * 10 + x * 10) = -2(6 + -9x) (20 + 10x) = -2(6 + -9x) 20 + 10x = (6 * -2 + -9x * -2) 20 + 10x = (-12 + 18x) Solving 20 + 10x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 20 + 10x + -18x = -12 + 18x + -18x Combine like terms: 10x + -18x = -8x 20 + -8x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 20 + -8x = -12 + 0 20 + -8x = -12 Add '-20' to each side of the equation. 20 + -20 + -8x = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -8x = -12 + -20 -8x = -12 + -20 Combine like terms: -12 + -20 = -32 -8x = -32 Divide each side by '-8'. x = 4 Simplifying x = 4
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