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Simplifying 5(3x + 2) = -5(4x + -3) + 3x Reorder the terms: 5(2 + 3x) = -5(4x + -3) + 3x (2 * 5 + 3x * 5) = -5(4x + -3) + 3x (10 + 15x) = -5(4x + -3) + 3x Reorder the terms: 10 + 15x = -5(-3 + 4x) + 3x 10 + 15x = (-3 * -5 + 4x * -5) + 3x 10 + 15x = (15 + -20x) + 3x Combine like terms: -20x + 3x = -17x 10 + 15x = 15 + -17x Solving 10 + 15x = 15 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 10 + 15x + 17x = 15 + -17x + 17x Combine like terms: 15x + 17x = 32x 10 + 32x = 15 + -17x + 17x Combine like terms: -17x + 17x = 0 10 + 32x = 15 + 0 10 + 32x = 15 Add '-10' to each side of the equation. 10 + -10 + 32x = 15 + -10 Combine like terms: 10 + -10 = 0 0 + 32x = 15 + -10 32x = 15 + -10 Combine like terms: 15 + -10 = 5 32x = 5 Divide each side by '32'. x = 0.15625 Simplifying x = 0.15625
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