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Simplifying 4x + 9 + 2x = 3x + -12 Reorder the terms: 9 + 4x + 2x = 3x + -12 Combine like terms: 4x + 2x = 6x 9 + 6x = 3x + -12 Reorder the terms: 9 + 6x = -12 + 3x Solving 9 + 6x = -12 + 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. 9 + 6x + -3x = -12 + 3x + -3x Combine like terms: 6x + -3x = 3x 9 + 3x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 3x = -12 + 0 9 + 3x = -12 Add '-9' to each side of the equation. 9 + -9 + 3x = -12 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = -12 + -9 3x = -12 + -9 Combine like terms: -12 + -9 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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