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Simplifying 5x + 12 = -3x + 36 Reorder the terms: 12 + 5x = -3x + 36 Reorder the terms: 12 + 5x = 36 + -3x Solving 12 + 5x = 36 + -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 + 5x + 3x = 36 + -3x + 3x Combine like terms: 5x + 3x = 8x 12 + 8x = 36 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 8x = 36 + 0 12 + 8x = 36 Add '-12' to each side of the equation. 12 + -12 + 8x = 36 + -12 Combine like terms: 12 + -12 = 0 0 + 8x = 36 + -12 8x = 36 + -12 Combine like terms: 36 + -12 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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