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Simplifying 7(4x + 2) = 5(3x + -1) Reorder the terms: 7(2 + 4x) = 5(3x + -1) (2 * 7 + 4x * 7) = 5(3x + -1) (14 + 28x) = 5(3x + -1) Reorder the terms: 14 + 28x = 5(-1 + 3x) 14 + 28x = (-1 * 5 + 3x * 5) 14 + 28x = (-5 + 15x) Solving 14 + 28x = -5 + 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 + 28x + -15x = -5 + 15x + -15x Combine like terms: 28x + -15x = 13x 14 + 13x = -5 + 15x + -15x Combine like terms: 15x + -15x = 0 14 + 13x = -5 + 0 14 + 13x = -5 Add '-14' to each side of the equation. 14 + -14 + 13x = -5 + -14 Combine like terms: 14 + -14 = 0 0 + 13x = -5 + -14 13x = -5 + -14 Combine like terms: -5 + -14 = -19 13x = -19 Divide each side by '13'. x = -1.461538462 Simplifying x = -1.461538462
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