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Simplifying 2(x + -3) + 5(4 + 2x) = 10 Reorder the terms: 2(-3 + x) + 5(4 + 2x) = 10 (-3 * 2 + x * 2) + 5(4 + 2x) = 10 (-6 + 2x) + 5(4 + 2x) = 10 -6 + 2x + (4 * 5 + 2x * 5) = 10 -6 + 2x + (20 + 10x) = 10 Reorder the terms: -6 + 20 + 2x + 10x = 10 Combine like terms: -6 + 20 = 14 14 + 2x + 10x = 10 Combine like terms: 2x + 10x = 12x 14 + 12x = 10 Solving 14 + 12x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 12x = 10 + -14 Combine like terms: 14 + -14 = 0 0 + 12x = 10 + -14 12x = 10 + -14 Combine like terms: 10 + -14 = -4 12x = -4 Divide each side by '12'. x = -0.3333333333 Simplifying x = -0.3333333333
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