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Simplifying 5x + 12 + -3x = 8 + 5x + -5 Reorder the terms: 12 + 5x + -3x = 8 + 5x + -5 Combine like terms: 5x + -3x = 2x 12 + 2x = 8 + 5x + -5 Reorder the terms: 12 + 2x = 8 + -5 + 5x Combine like terms: 8 + -5 = 3 12 + 2x = 3 + 5x Solving 12 + 2x = 3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 2x + -5x = 3 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = 3 + 0 12 + -3x = 3 Add '-12' to each side of the equation. 12 + -12 + -3x = 3 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = 3 + -12 -3x = 3 + -12 Combine like terms: 3 + -12 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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