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Simplifying 2(2 + -3x) = 3(5x + 7) (2 * 2 + -3x * 2) = 3(5x + 7) (4 + -6x) = 3(5x + 7) Reorder the terms: 4 + -6x = 3(7 + 5x) 4 + -6x = (7 * 3 + 5x * 3) 4 + -6x = (21 + 15x) Solving 4 + -6x = 21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 4 + -6x + -15x = 21 + 15x + -15x Combine like terms: -6x + -15x = -21x 4 + -21x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 4 + -21x = 21 + 0 4 + -21x = 21 Add '-4' to each side of the equation. 4 + -4 + -21x = 21 + -4 Combine like terms: 4 + -4 = 0 0 + -21x = 21 + -4 -21x = 21 + -4 Combine like terms: 21 + -4 = 17 -21x = 17 Divide each side by '-21'. x = -0.8095238095 Simplifying x = -0.8095238095
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