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Simplifying 3x + 5(2x + 3) = 2x + 7(3x + 1) Reorder the terms: 3x + 5(3 + 2x) = 2x + 7(3x + 1) 3x + (3 * 5 + 2x * 5) = 2x + 7(3x + 1) 3x + (15 + 10x) = 2x + 7(3x + 1) Reorder the terms: 15 + 3x + 10x = 2x + 7(3x + 1) Combine like terms: 3x + 10x = 13x 15 + 13x = 2x + 7(3x + 1) Reorder the terms: 15 + 13x = 2x + 7(1 + 3x) 15 + 13x = 2x + (1 * 7 + 3x * 7) 15 + 13x = 2x + (7 + 21x) Reorder the terms: 15 + 13x = 7 + 2x + 21x Combine like terms: 2x + 21x = 23x 15 + 13x = 7 + 23x Solving 15 + 13x = 7 + 23x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-23x' to each side of the equation. 15 + 13x + -23x = 7 + 23x + -23x Combine like terms: 13x + -23x = -10x 15 + -10x = 7 + 23x + -23x Combine like terms: 23x + -23x = 0 15 + -10x = 7 + 0 15 + -10x = 7 Add '-15' to each side of the equation. 15 + -15 + -10x = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -10x = 7 + -15 -10x = 7 + -15 Combine like terms: 7 + -15 = -8 -10x = -8 Divide each side by '-10'. x = 0.8 Simplifying x = 0.8
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