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Simplifying x + 30 = 2(6x + -7) Reorder the terms: 30 + x = 2(6x + -7) Reorder the terms: 30 + x = 2(-7 + 6x) 30 + x = (-7 * 2 + 6x * 2) 30 + x = (-14 + 12x) Solving 30 + x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 30 + x + -12x = -14 + 12x + -12x Combine like terms: x + -12x = -11x 30 + -11x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 30 + -11x = -14 + 0 30 + -11x = -14 Add '-30' to each side of the equation. 30 + -30 + -11x = -14 + -30 Combine like terms: 30 + -30 = 0 0 + -11x = -14 + -30 -11x = -14 + -30 Combine like terms: -14 + -30 = -44 -11x = -44 Divide each side by '-11'. x = 4 Simplifying x = 4
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