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Simplifying 3(5 + -2x) = 3(5x + 2) (5 * 3 + -2x * 3) = 3(5x + 2) (15 + -6x) = 3(5x + 2) Reorder the terms: 15 + -6x = 3(2 + 5x) 15 + -6x = (2 * 3 + 5x * 3) 15 + -6x = (6 + 15x) Solving 15 + -6x = 6 + 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. 15 + -6x + -15x = 6 + 15x + -15x Combine like terms: -6x + -15x = -21x 15 + -21x = 6 + 15x + -15x Combine like terms: 15x + -15x = 0 15 + -21x = 6 + 0 15 + -21x = 6 Add '-15' to each side of the equation. 15 + -15 + -21x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = 6 + -15 -21x = 6 + -15 Combine like terms: 6 + -15 = -9 -21x = -9 Divide each side by '-21'. x = 0.4285714286 Simplifying x = 0.4285714286
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