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Simplifying 30 = 6(x + -7) Reorder the terms: 30 = 6(-7 + x) 30 = (-7 * 6 + x * 6) 30 = (-42 + 6x) Solving 30 = -42 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 30 + -6x = -42 + 6x + -6x Combine like terms: 6x + -6x = 0 30 + -6x = -42 + 0 30 + -6x = -42 Add '-30' to each side of the equation. 30 + -30 + -6x = -42 + -30 Combine like terms: 30 + -30 = 0 0 + -6x = -42 + -30 -6x = -42 + -30 Combine like terms: -42 + -30 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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