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Simplifying 5(3x + 2) = 4(7x + -5) Reorder the terms: 5(2 + 3x) = 4(7x + -5) (2 * 5 + 3x * 5) = 4(7x + -5) (10 + 15x) = 4(7x + -5) Reorder the terms: 10 + 15x = 4(-5 + 7x) 10 + 15x = (-5 * 4 + 7x * 4) 10 + 15x = (-20 + 28x) Solving 10 + 15x = -20 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. 10 + 15x + -28x = -20 + 28x + -28x Combine like terms: 15x + -28x = -13x 10 + -13x = -20 + 28x + -28x Combine like terms: 28x + -28x = 0 10 + -13x = -20 + 0 10 + -13x = -20 Add '-10' to each side of the equation. 10 + -10 + -13x = -20 + -10 Combine like terms: 10 + -10 = 0 0 + -13x = -20 + -10 -13x = -20 + -10 Combine like terms: -20 + -10 = -30 -13x = -30 Divide each side by '-13'. x = 2.307692308 Simplifying x = 2.307692308
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