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Simplifying 3x + -8 + 2(5x + 4) = -2(x + 3) Reorder the terms: 3x + -8 + 2(4 + 5x) = -2(x + 3) 3x + -8 + (4 * 2 + 5x * 2) = -2(x + 3) 3x + -8 + (8 + 10x) = -2(x + 3) Reorder the terms: -8 + 8 + 3x + 10x = -2(x + 3) Combine like terms: -8 + 8 = 0 0 + 3x + 10x = -2(x + 3) 3x + 10x = -2(x + 3) Combine like terms: 3x + 10x = 13x 13x = -2(x + 3) Reorder the terms: 13x = -2(3 + x) 13x = (3 * -2 + x * -2) 13x = (-6 + -2x) Solving 13x = -6 + -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. 13x + 2x = -6 + -2x + 2x Combine like terms: 13x + 2x = 15x 15x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 15x = -6 + 0 15x = -6 Divide each side by '15'. x = -0.4 Simplifying x = -0.4
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