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