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Simplifying (x + 2) * 2 + -1(x + -4) * 2 = 11x + -8 Reorder the terms: (2 + x) * 2 + -1(x + -4) * 2 = 11x + -8 Reorder the terms for easier multiplication: 2(2 + x) + -1(x + -4) * 2 = 11x + -8 (2 * 2 + x * 2) + -1(x + -4) * 2 = 11x + -8 (4 + 2x) + -1(x + -4) * 2 = 11x + -8 Reorder the terms: 4 + 2x + -1(-4 + x) * 2 = 11x + -8 Reorder the terms for easier multiplication: 4 + 2x + -1 * 2(-4 + x) = 11x + -8 Multiply -1 * 2 4 + 2x + -2(-4 + x) = 11x + -8 4 + 2x + (-4 * -2 + x * -2) = 11x + -8 4 + 2x + (8 + -2x) = 11x + -8 Reorder the terms: 4 + 8 + 2x + -2x = 11x + -8 Combine like terms: 4 + 8 = 12 12 + 2x + -2x = 11x + -8 Combine like terms: 2x + -2x = 0 12 + 0 = 11x + -8 12 = 11x + -8 Reorder the terms: 12 = -8 + 11x Solving 12 = -8 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 12 + -11x = -8 + 11x + -11x Combine like terms: 11x + -11x = 0 12 + -11x = -8 + 0 12 + -11x = -8 Add '-12' to each side of the equation. 12 + -12 + -11x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -8 + -12 -11x = -8 + -12 Combine like terms: -8 + -12 = -20 -11x = -20 Divide each side by '-11'. x = 1.818181818 Simplifying x = 1.818181818
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