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Simplifying 2(x + 6) = -3(5x + -3) + 2x Reorder the terms: 2(6 + x) = -3(5x + -3) + 2x (6 * 2 + x * 2) = -3(5x + -3) + 2x (12 + 2x) = -3(5x + -3) + 2x Reorder the terms: 12 + 2x = -3(-3 + 5x) + 2x 12 + 2x = (-3 * -3 + 5x * -3) + 2x 12 + 2x = (9 + -15x) + 2x Combine like terms: -15x + 2x = -13x 12 + 2x = 9 + -13x Solving 12 + 2x = 9 + -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. 12 + 2x + 13x = 9 + -13x + 13x Combine like terms: 2x + 13x = 15x 12 + 15x = 9 + -13x + 13x Combine like terms: -13x + 13x = 0 12 + 15x = 9 + 0 12 + 15x = 9 Add '-12' to each side of the equation. 12 + -12 + 15x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 15x = 9 + -12 15x = 9 + -12 Combine like terms: 9 + -12 = -3 15x = -3 Divide each side by '15'. x = -0.2 Simplifying x = -0.2
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