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Simplifying -3(5x + -2) + 2x = 2(x + 6) Reorder the terms: -3(-2 + 5x) + 2x = 2(x + 6) (-2 * -3 + 5x * -3) + 2x = 2(x + 6) (6 + -15x) + 2x = 2(x + 6) Combine like terms: -15x + 2x = -13x 6 + -13x = 2(x + 6) Reorder the terms: 6 + -13x = 2(6 + x) 6 + -13x = (6 * 2 + x * 2) 6 + -13x = (12 + 2x) Solving 6 + -13x = 12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -13x + -2x = 12 + 2x + -2x Combine like terms: -13x + -2x = -15x 6 + -15x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -15x = 12 + 0 6 + -15x = 12 Add '-6' to each side of the equation. 6 + -6 + -15x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -15x = 12 + -6 -15x = 12 + -6 Combine like terms: 12 + -6 = 6 -15x = 6 Divide each side by '-15'. x = -0.4 Simplifying x = -0.4
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