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Simplifying -1(x + -6) + -1(x + -6) = x + 7 Reorder the terms: -1(-6 + x) + -1(x + -6) = x + 7 (-6 * -1 + x * -1) + -1(x + -6) = x + 7 (6 + -1x) + -1(x + -6) = x + 7 Reorder the terms: 6 + -1x + -1(-6 + x) = x + 7 6 + -1x + (-6 * -1 + x * -1) = x + 7 6 + -1x + (6 + -1x) = x + 7 Reorder the terms: 6 + 6 + -1x + -1x = x + 7 Combine like terms: 6 + 6 = 12 12 + -1x + -1x = x + 7 Combine like terms: -1x + -1x = -2x 12 + -2x = x + 7 Reorder the terms: 12 + -2x = 7 + x Solving 12 + -2x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 12 + -2x + -1x = 7 + x + -1x Combine like terms: -2x + -1x = -3x 12 + -3x = 7 + x + -1x Combine like terms: x + -1x = 0 12 + -3x = 7 + 0 12 + -3x = 7 Add '-12' to each side of the equation. 12 + -12 + -3x = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 7 + -12 -3x = 7 + -12 Combine like terms: 7 + -12 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667
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