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Simplifying 5(-3x + 4) + 2x + -5 = 2(x + 6) Reorder the terms: 5(4 + -3x) + 2x + -5 = 2(x + 6) (4 * 5 + -3x * 5) + 2x + -5 = 2(x + 6) (20 + -15x) + 2x + -5 = 2(x + 6) Reorder the terms: 20 + -5 + -15x + 2x = 2(x + 6) Combine like terms: 20 + -5 = 15 15 + -15x + 2x = 2(x + 6) Combine like terms: -15x + 2x = -13x 15 + -13x = 2(x + 6) Reorder the terms: 15 + -13x = 2(6 + x) 15 + -13x = (6 * 2 + x * 2) 15 + -13x = (12 + 2x) Solving 15 + -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. 15 + -13x + -2x = 12 + 2x + -2x Combine like terms: -13x + -2x = -15x 15 + -15x = 12 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -15x = 12 + 0 15 + -15x = 12 Add '-15' to each side of the equation. 15 + -15 + -15x = 12 + -15 Combine like terms: 15 + -15 = 0 0 + -15x = 12 + -15 -15x = 12 + -15 Combine like terms: 12 + -15 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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