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Simplifying -4x + -2x + 12 = 3x + 30 Reorder the terms: 12 + -4x + -2x = 3x + 30 Combine like terms: -4x + -2x = -6x 12 + -6x = 3x + 30 Reorder the terms: 12 + -6x = 30 + 3x Solving 12 + -6x = 30 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 12 + -6x + -3x = 30 + 3x + -3x Combine like terms: -6x + -3x = -9x 12 + -9x = 30 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -9x = 30 + 0 12 + -9x = 30 Add '-12' to each side of the equation. 12 + -12 + -9x = 30 + -12 Combine like terms: 12 + -12 = 0 0 + -9x = 30 + -12 -9x = 30 + -12 Combine like terms: 30 + -12 = 18 -9x = 18 Divide each side by '-9'. x = -2 Simplifying x = -2
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