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Simplifying 8 + -5(2 + -3x) = 2(x + -2) 8 + (2 * -5 + -3x * -5) = 2(x + -2) 8 + (-10 + 15x) = 2(x + -2) Combine like terms: 8 + -10 = -2 -2 + 15x = 2(x + -2) Reorder the terms: -2 + 15x = 2(-2 + x) -2 + 15x = (-2 * 2 + x * 2) -2 + 15x = (-4 + 2x) Solving -2 + 15x = -4 + 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. -2 + 15x + -2x = -4 + 2x + -2x Combine like terms: 15x + -2x = 13x -2 + 13x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 13x = -4 + 0 -2 + 13x = -4 Add '2' to each side of the equation. -2 + 2 + 13x = -4 + 2 Combine like terms: -2 + 2 = 0 0 + 13x = -4 + 2 13x = -4 + 2 Combine like terms: -4 + 2 = -2 13x = -2 Divide each side by '13'. x = -0.1538461538 Simplifying x = -0.1538461538
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