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Simplifying 5(2x + 3) = 7(x + 1) Reorder the terms: 5(3 + 2x) = 7(x + 1) (3 * 5 + 2x * 5) = 7(x + 1) (15 + 10x) = 7(x + 1) Reorder the terms: 15 + 10x = 7(1 + x) 15 + 10x = (1 * 7 + x * 7) 15 + 10x = (7 + 7x) Solving 15 + 10x = 7 + 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. 15 + 10x + -7x = 7 + 7x + -7x Combine like terms: 10x + -7x = 3x 15 + 3x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 3x = 7 + 0 15 + 3x = 7 Add '-15' to each side of the equation. 15 + -15 + 3x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + 3x = 7 + -15 3x = 7 + -15 Combine like terms: 7 + -15 = -8 3x = -8 Divide each side by '3'. x = -2.666666667 Simplifying x = -2.666666667
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