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Simplifying 3(3x + 2) + -5(2x + -2) = 7(3x + -4) Reorder the terms: 3(2 + 3x) + -5(2x + -2) = 7(3x + -4) (2 * 3 + 3x * 3) + -5(2x + -2) = 7(3x + -4) (6 + 9x) + -5(2x + -2) = 7(3x + -4) Reorder the terms: 6 + 9x + -5(-2 + 2x) = 7(3x + -4) 6 + 9x + (-2 * -5 + 2x * -5) = 7(3x + -4) 6 + 9x + (10 + -10x) = 7(3x + -4) Reorder the terms: 6 + 10 + 9x + -10x = 7(3x + -4) Combine like terms: 6 + 10 = 16 16 + 9x + -10x = 7(3x + -4) Combine like terms: 9x + -10x = -1x 16 + -1x = 7(3x + -4) Reorder the terms: 16 + -1x = 7(-4 + 3x) 16 + -1x = (-4 * 7 + 3x * 7) 16 + -1x = (-28 + 21x) Solving 16 + -1x = -28 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 16 + -1x + -21x = -28 + 21x + -21x Combine like terms: -1x + -21x = -22x 16 + -22x = -28 + 21x + -21x Combine like terms: 21x + -21x = 0 16 + -22x = -28 + 0 16 + -22x = -28 Add '-16' to each side of the equation. 16 + -16 + -22x = -28 + -16 Combine like terms: 16 + -16 = 0 0 + -22x = -28 + -16 -22x = -28 + -16 Combine like terms: -28 + -16 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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