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Simplifying x(2 + -8) + -1 = 5(x + -4) + 2 Combine like terms: 2 + -8 = -6 x(-6) + -1 = 5(x + -4) + 2 Reorder the terms for easier multiplication: -6x + -1 = 5(x + -4) + 2 Reorder the terms: -1 + -6x = 5(x + -4) + 2 Reorder the terms: -1 + -6x = 5(-4 + x) + 2 -1 + -6x = (-4 * 5 + x * 5) + 2 -1 + -6x = (-20 + 5x) + 2 Reorder the terms: -1 + -6x = -20 + 2 + 5x Combine like terms: -20 + 2 = -18 -1 + -6x = -18 + 5x Solving -1 + -6x = -18 + 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. -1 + -6x + -5x = -18 + 5x + -5x Combine like terms: -6x + -5x = -11x -1 + -11x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -11x = -18 + 0 -1 + -11x = -18 Add '1' to each side of the equation. -1 + 1 + -11x = -18 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = -18 + 1 -11x = -18 + 1 Combine like terms: -18 + 1 = -17 -11x = -17 Divide each side by '-11'. x = 1.545454545 Simplifying x = 1.545454545
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