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Simplifying 5(2x + 1) = 3 + -2(x + -2) Reorder the terms: 5(1 + 2x) = 3 + -2(x + -2) (1 * 5 + 2x * 5) = 3 + -2(x + -2) (5 + 10x) = 3 + -2(x + -2) Reorder the terms: 5 + 10x = 3 + -2(-2 + x) 5 + 10x = 3 + (-2 * -2 + x * -2) 5 + 10x = 3 + (4 + -2x) Combine like terms: 3 + 4 = 7 5 + 10x = 7 + -2x Solving 5 + 10x = 7 + -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. 5 + 10x + 2x = 7 + -2x + 2x Combine like terms: 10x + 2x = 12x 5 + 12x = 7 + -2x + 2x Combine like terms: -2x + 2x = 0 5 + 12x = 7 + 0 5 + 12x = 7 Add '-5' to each side of the equation. 5 + -5 + 12x = 7 + -5 Combine like terms: 5 + -5 = 0 0 + 12x = 7 + -5 12x = 7 + -5 Combine like terms: 7 + -5 = 2 12x = 2 Divide each side by '12'. x = 0.1666666667 Simplifying x = 0.1666666667
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