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Simplifying 3(7x + 5) = 3(2x + 7) + 4(2x + -1) Reorder the terms: 3(5 + 7x) = 3(2x + 7) + 4(2x + -1) (5 * 3 + 7x * 3) = 3(2x + 7) + 4(2x + -1) (15 + 21x) = 3(2x + 7) + 4(2x + -1) Reorder the terms: 15 + 21x = 3(7 + 2x) + 4(2x + -1) 15 + 21x = (7 * 3 + 2x * 3) + 4(2x + -1) 15 + 21x = (21 + 6x) + 4(2x + -1) Reorder the terms: 15 + 21x = 21 + 6x + 4(-1 + 2x) 15 + 21x = 21 + 6x + (-1 * 4 + 2x * 4) 15 + 21x = 21 + 6x + (-4 + 8x) Reorder the terms: 15 + 21x = 21 + -4 + 6x + 8x Combine like terms: 21 + -4 = 17 15 + 21x = 17 + 6x + 8x Combine like terms: 6x + 8x = 14x 15 + 21x = 17 + 14x Solving 15 + 21x = 17 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 15 + 21x + -14x = 17 + 14x + -14x Combine like terms: 21x + -14x = 7x 15 + 7x = 17 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + 7x = 17 + 0 15 + 7x = 17 Add '-15' to each side of the equation. 15 + -15 + 7x = 17 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 17 + -15 7x = 17 + -15 Combine like terms: 17 + -15 = 2 7x = 2 Divide each side by '7'. x = 0.2857142857 Simplifying x = 0.2857142857
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