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Simplifying 2(x + -6) + 2 = 5x + -2 Reorder the terms: 2(-6 + x) + 2 = 5x + -2 (-6 * 2 + x * 2) + 2 = 5x + -2 (-12 + 2x) + 2 = 5x + -2 Reorder the terms: -12 + 2 + 2x = 5x + -2 Combine like terms: -12 + 2 = -10 -10 + 2x = 5x + -2 Reorder the terms: -10 + 2x = -2 + 5x Solving -10 + 2x = -2 + 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. -10 + 2x + -5x = -2 + 5x + -5x Combine like terms: 2x + -5x = -3x -10 + -3x = -2 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -3x = -2 + 0 -10 + -3x = -2 Add '10' to each side of the equation. -10 + 10 + -3x = -2 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = -2 + 10 -3x = -2 + 10 Combine like terms: -2 + 10 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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