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Simplifying 12 = 5(x + -6) + 2x Reorder the terms: 12 = 5(-6 + x) + 2x 12 = (-6 * 5 + x * 5) + 2x 12 = (-30 + 5x) + 2x Combine like terms: 5x + 2x = 7x 12 = -30 + 7x Solving 12 = -30 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 12 + -7x = -30 + 7x + -7x Combine like terms: 7x + -7x = 0 12 + -7x = -30 + 0 12 + -7x = -30 Add '-12' to each side of the equation. 12 + -12 + -7x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -7x = -30 + -12 -7x = -30 + -12 Combine like terms: -30 + -12 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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