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Simplifying 3(4x + 5) + 2(x + -3) = 5(x + 7) Reorder the terms: 3(5 + 4x) + 2(x + -3) = 5(x + 7) (5 * 3 + 4x * 3) + 2(x + -3) = 5(x + 7) (15 + 12x) + 2(x + -3) = 5(x + 7) Reorder the terms: 15 + 12x + 2(-3 + x) = 5(x + 7) 15 + 12x + (-3 * 2 + x * 2) = 5(x + 7) 15 + 12x + (-6 + 2x) = 5(x + 7) Reorder the terms: 15 + -6 + 12x + 2x = 5(x + 7) Combine like terms: 15 + -6 = 9 9 + 12x + 2x = 5(x + 7) Combine like terms: 12x + 2x = 14x 9 + 14x = 5(x + 7) Reorder the terms: 9 + 14x = 5(7 + x) 9 + 14x = (7 * 5 + x * 5) 9 + 14x = (35 + 5x) Solving 9 + 14x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 9 + 14x + -5x = 35 + 5x + -5x Combine like terms: 14x + -5x = 9x 9 + 9x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + 9x = 35 + 0 9 + 9x = 35 Add '-9' to each side of the equation. 9 + -9 + 9x = 35 + -9 Combine like terms: 9 + -9 = 0 0 + 9x = 35 + -9 9x = 35 + -9 Combine like terms: 35 + -9 = 26 9x = 26 Divide each side by '9'. x = 2.888888889 Simplifying x = 2.888888889
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