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Simplifying 12 = -7x + 5(x + 6) Reorder the terms: 12 = -7x + 5(6 + x) 12 = -7x + (6 * 5 + x * 5) 12 = -7x + (30 + 5x) Reorder the terms: 12 = 30 + -7x + 5x Combine like terms: -7x + 5x = -2x 12 = 30 + -2x Solving 12 = 30 + -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. 12 + 2x = 30 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 2x = 30 + 0 12 + 2x = 30 Add '-12' to each side of the equation. 12 + -12 + 2x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 30 + -12 2x = 30 + -12 Combine like terms: 30 + -12 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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