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Simplifying 6(x + 3) + 5(2x + -2) = 10 Reorder the terms: 6(3 + x) + 5(2x + -2) = 10 (3 * 6 + x * 6) + 5(2x + -2) = 10 (18 + 6x) + 5(2x + -2) = 10 Reorder the terms: 18 + 6x + 5(-2 + 2x) = 10 18 + 6x + (-2 * 5 + 2x * 5) = 10 18 + 6x + (-10 + 10x) = 10 Reorder the terms: 18 + -10 + 6x + 10x = 10 Combine like terms: 18 + -10 = 8 8 + 6x + 10x = 10 Combine like terms: 6x + 10x = 16x 8 + 16x = 10 Solving 8 + 16x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 16x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = 10 + -8 16x = 10 + -8 Combine like terms: 10 + -8 = 2 16x = 2 Divide each side by '16'. x = 0.125 Simplifying x = 0.125
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