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Simplifying 3(7x + 5) = 2(2x + 7) + 4(2x + -1) Reorder the terms: 3(5 + 7x) = 2(2x + 7) + 4(2x + -1) (5 * 3 + 7x * 3) = 2(2x + 7) + 4(2x + -1) (15 + 21x) = 2(2x + 7) + 4(2x + -1) Reorder the terms: 15 + 21x = 2(7 + 2x) + 4(2x + -1) 15 + 21x = (7 * 2 + 2x * 2) + 4(2x + -1) 15 + 21x = (14 + 4x) + 4(2x + -1) Reorder the terms: 15 + 21x = 14 + 4x + 4(-1 + 2x) 15 + 21x = 14 + 4x + (-1 * 4 + 2x * 4) 15 + 21x = 14 + 4x + (-4 + 8x) Reorder the terms: 15 + 21x = 14 + -4 + 4x + 8x Combine like terms: 14 + -4 = 10 15 + 21x = 10 + 4x + 8x Combine like terms: 4x + 8x = 12x 15 + 21x = 10 + 12x Solving 15 + 21x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 15 + 21x + -12x = 10 + 12x + -12x Combine like terms: 21x + -12x = 9x 15 + 9x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 15 + 9x = 10 + 0 15 + 9x = 10 Add '-15' to each side of the equation. 15 + -15 + 9x = 10 + -15 Combine like terms: 15 + -15 = 0 0 + 9x = 10 + -15 9x = 10 + -15 Combine like terms: 10 + -15 = -5 9x = -5 Divide each side by '9'. x = -0.5555555556 Simplifying x = -0.5555555556
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