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Simplifying 7x + 3(2x + 5) = 10x + 17 Reorder the terms: 7x + 3(5 + 2x) = 10x + 17 7x + (5 * 3 + 2x * 3) = 10x + 17 7x + (15 + 6x) = 10x + 17 Reorder the terms: 15 + 7x + 6x = 10x + 17 Combine like terms: 7x + 6x = 13x 15 + 13x = 10x + 17 Reorder the terms: 15 + 13x = 17 + 10x Solving 15 + 13x = 17 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 15 + 13x + -10x = 17 + 10x + -10x Combine like terms: 13x + -10x = 3x 15 + 3x = 17 + 10x + -10x Combine like terms: 10x + -10x = 0 15 + 3x = 17 + 0 15 + 3x = 17 Add '-15' to each side of the equation. 15 + -15 + 3x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 17 + -15 3x = 17 + -15 Combine like terms: 17 + -15 = 2 3x = 2 Divide each side by '3'. x = 0.6666666667 Simplifying x = 0.6666666667
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