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Simplifying 5(2x + 2) = 5(x + 3) + 2x Reorder the terms: 5(2 + 2x) = 5(x + 3) + 2x (2 * 5 + 2x * 5) = 5(x + 3) + 2x (10 + 10x) = 5(x + 3) + 2x Reorder the terms: 10 + 10x = 5(3 + x) + 2x 10 + 10x = (3 * 5 + x * 5) + 2x 10 + 10x = (15 + 5x) + 2x Combine like terms: 5x + 2x = 7x 10 + 10x = 15 + 7x Solving 10 + 10x = 15 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 10x + -7x = 15 + 7x + -7x Combine like terms: 10x + -7x = 3x 10 + 3x = 15 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + 3x = 15 + 0 10 + 3x = 15 Add '-10' to each side of the equation. 10 + -10 + 3x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 15 + -10 3x = 15 + -10 Combine like terms: 15 + -10 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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