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Simplifying 5x + -2(x + 6) = 6(x + -1) + -8 Reorder the terms: 5x + -2(6 + x) = 6(x + -1) + -8 5x + (6 * -2 + x * -2) = 6(x + -1) + -8 5x + (-12 + -2x) = 6(x + -1) + -8 Reorder the terms: -12 + 5x + -2x = 6(x + -1) + -8 Combine like terms: 5x + -2x = 3x -12 + 3x = 6(x + -1) + -8 Reorder the terms: -12 + 3x = 6(-1 + x) + -8 -12 + 3x = (-1 * 6 + x * 6) + -8 -12 + 3x = (-6 + 6x) + -8 Reorder the terms: -12 + 3x = -6 + -8 + 6x Combine like terms: -6 + -8 = -14 -12 + 3x = -14 + 6x Solving -12 + 3x = -14 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 3x + -6x = -14 + 6x + -6x Combine like terms: 3x + -6x = -3x -12 + -3x = -14 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + -3x = -14 + 0 -12 + -3x = -14 Add '12' to each side of the equation. -12 + 12 + -3x = -14 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -14 + 12 -3x = -14 + 12 Combine like terms: -14 + 12 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667
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