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Simplifying 5(2x + 3) + 3(7x + 2) = 9(x + -4) Reorder the terms: 5(3 + 2x) + 3(7x + 2) = 9(x + -4) (3 * 5 + 2x * 5) + 3(7x + 2) = 9(x + -4) (15 + 10x) + 3(7x + 2) = 9(x + -4) Reorder the terms: 15 + 10x + 3(2 + 7x) = 9(x + -4) 15 + 10x + (2 * 3 + 7x * 3) = 9(x + -4) 15 + 10x + (6 + 21x) = 9(x + -4) Reorder the terms: 15 + 6 + 10x + 21x = 9(x + -4) Combine like terms: 15 + 6 = 21 21 + 10x + 21x = 9(x + -4) Combine like terms: 10x + 21x = 31x 21 + 31x = 9(x + -4) Reorder the terms: 21 + 31x = 9(-4 + x) 21 + 31x = (-4 * 9 + x * 9) 21 + 31x = (-36 + 9x) Solving 21 + 31x = -36 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 31x + -9x = -36 + 9x + -9x Combine like terms: 31x + -9x = 22x 21 + 22x = -36 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + 22x = -36 + 0 21 + 22x = -36 Add '-21' to each side of the equation. 21 + -21 + 22x = -36 + -21 Combine like terms: 21 + -21 = 0 0 + 22x = -36 + -21 22x = -36 + -21 Combine like terms: -36 + -21 = -57 22x = -57 Divide each side by '22'. x = -2.590909091 Simplifying x = -2.590909091
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