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Simplifying x + 6 = 2(x + -7) Reorder the terms: 6 + x = 2(x + -7) Reorder the terms: 6 + x = 2(-7 + x) 6 + x = (-7 * 2 + x * 2) 6 + x = (-14 + 2x) Solving 6 + x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + x + -2x = -14 + 2x + -2x Combine like terms: x + -2x = -1x 6 + -1x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -1x = -14 + 0 6 + -1x = -14 Add '-6' to each side of the equation. 6 + -6 + -1x = -14 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = -14 + -6 -1x = -14 + -6 Combine like terms: -14 + -6 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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