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Simplifying 3x + 12 = -1x + 36 Reorder the terms: 12 + 3x = -1x + 36 Reorder the terms: 12 + 3x = 36 + -1x Solving 12 + 3x = 36 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + 3x + x = 36 + -1x + x Combine like terms: 3x + x = 4x 12 + 4x = 36 + -1x + x Combine like terms: -1x + x = 0 12 + 4x = 36 + 0 12 + 4x = 36 Add '-12' to each side of the equation. 12 + -12 + 4x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 36 + -12 4x = 36 + -12 Combine like terms: 36 + -12 = 24 4x = 24 Divide each side by '4'. x = 6 Simplifying x = 6
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