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Simplifying 2(x + 4) + -8x = 5x + 10 Reorder the terms: 2(4 + x) + -8x = 5x + 10 (4 * 2 + x * 2) + -8x = 5x + 10 (8 + 2x) + -8x = 5x + 10 Combine like terms: 2x + -8x = -6x 8 + -6x = 5x + 10 Reorder the terms: 8 + -6x = 10 + 5x Solving 8 + -6x = 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. 8 + -6x + -5x = 10 + 5x + -5x Combine like terms: -6x + -5x = -11x 8 + -11x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -11x = 10 + 0 8 + -11x = 10 Add '-8' to each side of the equation. 8 + -8 + -11x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + -11x = 10 + -8 -11x = 10 + -8 Combine like terms: 10 + -8 = 2 -11x = 2 Divide each side by '-11'. x = -0.1818181818 Simplifying x = -0.1818181818
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