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Simplifying 8 + -3(5x + 2) = 2(3 + -5x) Reorder the terms: 8 + -3(2 + 5x) = 2(3 + -5x) 8 + (2 * -3 + 5x * -3) = 2(3 + -5x) 8 + (-6 + -15x) = 2(3 + -5x) Combine like terms: 8 + -6 = 2 2 + -15x = 2(3 + -5x) 2 + -15x = (3 * 2 + -5x * 2) 2 + -15x = (6 + -10x) Solving 2 + -15x = 6 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 2 + -15x + 10x = 6 + -10x + 10x Combine like terms: -15x + 10x = -5x 2 + -5x = 6 + -10x + 10x Combine like terms: -10x + 10x = 0 2 + -5x = 6 + 0 2 + -5x = 6 Add '-2' to each side of the equation. 2 + -2 + -5x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 6 + -2 -5x = 6 + -2 Combine like terms: 6 + -2 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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