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Simplifying 7(2 + -3x) = 3(5x + -1) (2 * 7 + -3x * 7) = 3(5x + -1) (14 + -21x) = 3(5x + -1) Reorder the terms: 14 + -21x = 3(-1 + 5x) 14 + -21x = (-1 * 3 + 5x * 3) 14 + -21x = (-3 + 15x) Solving 14 + -21x = -3 + 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. 14 + -21x + -15x = -3 + 15x + -15x Combine like terms: -21x + -15x = -36x 14 + -36x = -3 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + -36x = -3 + 0 14 + -36x = -3 Add '-14' to each side of the equation. 14 + -14 + -36x = -3 + -14 Combine like terms: 14 + -14 = 0 0 + -36x = -3 + -14 -36x = -3 + -14 Combine like terms: -3 + -14 = -17 -36x = -17 Divide each side by '-36'. x = 0.4722222222 Simplifying x = 0.4722222222
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