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Simplifying 2(x + -6) = 6 + -1(x + 8) + 4 Reorder the terms: 2(-6 + x) = 6 + -1(x + 8) + 4 (-6 * 2 + x * 2) = 6 + -1(x + 8) + 4 (-12 + 2x) = 6 + -1(x + 8) + 4 Reorder the terms: -12 + 2x = 6 + -1(8 + x) + 4 -12 + 2x = 6 + (8 * -1 + x * -1) + 4 -12 + 2x = 6 + (-8 + -1x) + 4 Reorder the terms: -12 + 2x = 6 + -8 + 4 + -1x Combine like terms: 6 + -8 = -2 -12 + 2x = -2 + 4 + -1x Combine like terms: -2 + 4 = 2 -12 + 2x = 2 + -1x Solving -12 + 2x = 2 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 2x + x = 2 + -1x + x Combine like terms: 2x + x = 3x -12 + 3x = 2 + -1x + x Combine like terms: -1x + x = 0 -12 + 3x = 2 + 0 -12 + 3x = 2 Add '12' to each side of the equation. -12 + 12 + 3x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 3x = 2 + 12 3x = 2 + 12 Combine like terms: 2 + 12 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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