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Simplifying -1x + 2(2 + -7x) + -1(10 + 9x) = 3x + -5 + 8 -1x + (2 * 2 + -7x * 2) + -1(10 + 9x) = 3x + -5 + 8 -1x + (4 + -14x) + -1(10 + 9x) = 3x + -5 + 8 -1x + 4 + -14x + (10 * -1 + 9x * -1) = 3x + -5 + 8 -1x + 4 + -14x + (-10 + -9x) = 3x + -5 + 8 Reorder the terms: 4 + -10 + -1x + -14x + -9x = 3x + -5 + 8 Combine like terms: 4 + -10 = -6 -6 + -1x + -14x + -9x = 3x + -5 + 8 Combine like terms: -1x + -14x = -15x -6 + -15x + -9x = 3x + -5 + 8 Combine like terms: -15x + -9x = -24x -6 + -24x = 3x + -5 + 8 Reorder the terms: -6 + -24x = -5 + 8 + 3x Combine like terms: -5 + 8 = 3 -6 + -24x = 3 + 3x Solving -6 + -24x = 3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + -24x + -3x = 3 + 3x + -3x Combine like terms: -24x + -3x = -27x -6 + -27x = 3 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + -27x = 3 + 0 -6 + -27x = 3 Add '6' to each side of the equation. -6 + 6 + -27x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -27x = 3 + 6 -27x = 3 + 6 Combine like terms: 3 + 6 = 9 -27x = 9 Divide each side by '-27'. x = -0.3333333333 Simplifying x = -0.3333333333
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