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Simplifying 3(2x + 1) = -5(2x + -3) + -3x Reorder the terms: 3(1 + 2x) = -5(2x + -3) + -3x (1 * 3 + 2x * 3) = -5(2x + -3) + -3x (3 + 6x) = -5(2x + -3) + -3x Reorder the terms: 3 + 6x = -5(-3 + 2x) + -3x 3 + 6x = (-3 * -5 + 2x * -5) + -3x 3 + 6x = (15 + -10x) + -3x Combine like terms: -10x + -3x = -13x 3 + 6x = 15 + -13x Solving 3 + 6x = 15 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 3 + 6x + 13x = 15 + -13x + 13x Combine like terms: 6x + 13x = 19x 3 + 19x = 15 + -13x + 13x Combine like terms: -13x + 13x = 0 3 + 19x = 15 + 0 3 + 19x = 15 Add '-3' to each side of the equation. 3 + -3 + 19x = 15 + -3 Combine like terms: 3 + -3 = 0 0 + 19x = 15 + -3 19x = 15 + -3 Combine like terms: 15 + -3 = 12 19x = 12 Divide each side by '19'. x = 0.6315789474 Simplifying x = 0.6315789474
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