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Simplifying 3(7x + -2) + -5(4x + -9) = 2(9 + -3x) Reorder the terms: 3(-2 + 7x) + -5(4x + -9) = 2(9 + -3x) (-2 * 3 + 7x * 3) + -5(4x + -9) = 2(9 + -3x) (-6 + 21x) + -5(4x + -9) = 2(9 + -3x) Reorder the terms: -6 + 21x + -5(-9 + 4x) = 2(9 + -3x) -6 + 21x + (-9 * -5 + 4x * -5) = 2(9 + -3x) -6 + 21x + (45 + -20x) = 2(9 + -3x) Reorder the terms: -6 + 45 + 21x + -20x = 2(9 + -3x) Combine like terms: -6 + 45 = 39 39 + 21x + -20x = 2(9 + -3x) Combine like terms: 21x + -20x = 1x 39 + 1x = 2(9 + -3x) 39 + 1x = (9 * 2 + -3x * 2) 39 + 1x = (18 + -6x) Solving 39 + 1x = 18 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 39 + 1x + 6x = 18 + -6x + 6x Combine like terms: 1x + 6x = 7x 39 + 7x = 18 + -6x + 6x Combine like terms: -6x + 6x = 0 39 + 7x = 18 + 0 39 + 7x = 18 Add '-39' to each side of the equation. 39 + -39 + 7x = 18 + -39 Combine like terms: 39 + -39 = 0 0 + 7x = 18 + -39 7x = 18 + -39 Combine like terms: 18 + -39 = -21 7x = -21 Divide each side by '7'. x = -3 Simplifying x = -3
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