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Simplifying 3x + 12 = -1x + 52 Reorder the terms: 12 + 3x = -1x + 52 Reorder the terms: 12 + 3x = 52 + -1x Solving 12 + 3x = 52 + -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 = 52 + -1x + x Combine like terms: 3x + x = 4x 12 + 4x = 52 + -1x + x Combine like terms: -1x + x = 0 12 + 4x = 52 + 0 12 + 4x = 52 Add '-12' to each side of the equation. 12 + -12 + 4x = 52 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = 52 + -12 4x = 52 + -12 Combine like terms: 52 + -12 = 40 4x = 40 Divide each side by '4'. x = 10 Simplifying x = 10
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