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Simplifying 8(4x + 2) = 5(x + -2) Reorder the terms: 8(2 + 4x) = 5(x + -2) (2 * 8 + 4x * 8) = 5(x + -2) (16 + 32x) = 5(x + -2) Reorder the terms: 16 + 32x = 5(-2 + x) 16 + 32x = (-2 * 5 + x * 5) 16 + 32x = (-10 + 5x) Solving 16 + 32x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 16 + 32x + -5x = -10 + 5x + -5x Combine like terms: 32x + -5x = 27x 16 + 27x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 16 + 27x = -10 + 0 16 + 27x = -10 Add '-16' to each side of the equation. 16 + -16 + 27x = -10 + -16 Combine like terms: 16 + -16 = 0 0 + 27x = -10 + -16 27x = -10 + -16 Combine like terms: -10 + -16 = -26 27x = -26 Divide each side by '27'. x = -0.962962963 Simplifying x = -0.962962963
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