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