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Simplifying 10 + 2(3x + -8) = (1 + x) + -2(1 + -1x) Reorder the terms: 10 + 2(-8 + 3x) = (1 + x) + -2(1 + -1x) 10 + (-8 * 2 + 3x * 2) = (1 + x) + -2(1 + -1x) 10 + (-16 + 6x) = (1 + x) + -2(1 + -1x) Combine like terms: 10 + -16 = -6 -6 + 6x = (1 + x) + -2(1 + -1x) Remove parenthesis around (1 + x) -6 + 6x = 1 + x + -2(1 + -1x) -6 + 6x = 1 + x + (1 * -2 + -1x * -2) -6 + 6x = 1 + x + (-2 + 2x) Reorder the terms: -6 + 6x = 1 + -2 + x + 2x Combine like terms: 1 + -2 = -1 -6 + 6x = -1 + x + 2x Combine like terms: x + 2x = 3x -6 + 6x = -1 + 3x Solving -6 + 6x = -1 + 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 + 6x + -3x = -1 + 3x + -3x Combine like terms: 6x + -3x = 3x -6 + 3x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 3x = -1 + 0 -6 + 3x = -1 Add '6' to each side of the equation. -6 + 6 + 3x = -1 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = -1 + 6 3x = -1 + 6 Combine like terms: -1 + 6 = 5 3x = 5 Divide each side by '3'. x = 1.666666667 Simplifying x = 1.666666667
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