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Simplifying 4x + (3x + 6) + 12 = -45 Reorder the terms: 4x + (6 + 3x) + 12 = -45 Remove parenthesis around (6 + 3x) 4x + 6 + 3x + 12 = -45 Reorder the terms: 6 + 12 + 4x + 3x = -45 Combine like terms: 6 + 12 = 18 18 + 4x + 3x = -45 Combine like terms: 4x + 3x = 7x 18 + 7x = -45 Solving 18 + 7x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 7x = -45 + -18 Combine like terms: 18 + -18 = 0 0 + 7x = -45 + -18 7x = -45 + -18 Combine like terms: -45 + -18 = -63 7x = -63 Divide each side by '7'. x = -9 Simplifying x = -9
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