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Simplifying -9(-6 + -2x) + -12 = 4(x + 7) (-6 * -9 + -2x * -9) + -12 = 4(x + 7) (54 + 18x) + -12 = 4(x + 7) Reorder the terms: 54 + -12 + 18x = 4(x + 7) Combine like terms: 54 + -12 = 42 42 + 18x = 4(x + 7) Reorder the terms: 42 + 18x = 4(7 + x) 42 + 18x = (7 * 4 + x * 4) 42 + 18x = (28 + 4x) Solving 42 + 18x = 28 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 42 + 18x + -4x = 28 + 4x + -4x Combine like terms: 18x + -4x = 14x 42 + 14x = 28 + 4x + -4x Combine like terms: 4x + -4x = 0 42 + 14x = 28 + 0 42 + 14x = 28 Add '-42' to each side of the equation. 42 + -42 + 14x = 28 + -42 Combine like terms: 42 + -42 = 0 0 + 14x = 28 + -42 14x = 28 + -42 Combine like terms: 28 + -42 = -14 14x = -14 Divide each side by '14'. x = -1 Simplifying x = -1
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