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Simplifying -180 = -3x + -3(7x + 12) Reorder the terms: -180 = -3x + -3(12 + 7x) -180 = -3x + (12 * -3 + 7x * -3) -180 = -3x + (-36 + -21x) Reorder the terms: -180 = -36 + -3x + -21x Combine like terms: -3x + -21x = -24x -180 = -36 + -24x Solving -180 = -36 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. -180 + 24x = -36 + -24x + 24x Combine like terms: -24x + 24x = 0 -180 + 24x = -36 + 0 -180 + 24x = -36 Add '180' to each side of the equation. -180 + 180 + 24x = -36 + 180 Combine like terms: -180 + 180 = 0 0 + 24x = -36 + 180 24x = -36 + 180 Combine like terms: -36 + 180 = 144 24x = 144 Divide each side by '24'. x = 6 Simplifying x = 6
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