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Simplifying 2(3x + 3) + -4(5x + -3) = 5(2x + -3) + -3(x + 5) Reorder the terms: 2(3 + 3x) + -4(5x + -3) = 5(2x + -3) + -3(x + 5) (3 * 2 + 3x * 2) + -4(5x + -3) = 5(2x + -3) + -3(x + 5) (6 + 6x) + -4(5x + -3) = 5(2x + -3) + -3(x + 5) Reorder the terms: 6 + 6x + -4(-3 + 5x) = 5(2x + -3) + -3(x + 5) 6 + 6x + (-3 * -4 + 5x * -4) = 5(2x + -3) + -3(x + 5) 6 + 6x + (12 + -20x) = 5(2x + -3) + -3(x + 5) Reorder the terms: 6 + 12 + 6x + -20x = 5(2x + -3) + -3(x + 5) Combine like terms: 6 + 12 = 18 18 + 6x + -20x = 5(2x + -3) + -3(x + 5) Combine like terms: 6x + -20x = -14x 18 + -14x = 5(2x + -3) + -3(x + 5) Reorder the terms: 18 + -14x = 5(-3 + 2x) + -3(x + 5) 18 + -14x = (-3 * 5 + 2x * 5) + -3(x + 5) 18 + -14x = (-15 + 10x) + -3(x + 5) Reorder the terms: 18 + -14x = -15 + 10x + -3(5 + x) 18 + -14x = -15 + 10x + (5 * -3 + x * -3) 18 + -14x = -15 + 10x + (-15 + -3x) Reorder the terms: 18 + -14x = -15 + -15 + 10x + -3x Combine like terms: -15 + -15 = -30 18 + -14x = -30 + 10x + -3x Combine like terms: 10x + -3x = 7x 18 + -14x = -30 + 7x Solving 18 + -14x = -30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 18 + -14x + -7x = -30 + 7x + -7x Combine like terms: -14x + -7x = -21x 18 + -21x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 18 + -21x = -30 + 0 18 + -21x = -30 Add '-18' to each side of the equation. 18 + -18 + -21x = -30 + -18 Combine like terms: 18 + -18 = 0 0 + -21x = -30 + -18 -21x = -30 + -18 Combine like terms: -30 + -18 = -48 -21x = -48 Divide each side by '-21'. x = 2.285714286 Simplifying x = 2.285714286
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