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Simplifying 12x + -3x + 10 = 5x + 18 Reorder the terms: 10 + 12x + -3x = 5x + 18 Combine like terms: 12x + -3x = 9x 10 + 9x = 5x + 18 Reorder the terms: 10 + 9x = 18 + 5x Solving 10 + 9x = 18 + 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. 10 + 9x + -5x = 18 + 5x + -5x Combine like terms: 9x + -5x = 4x 10 + 4x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 10 + 4x = 18 + 0 10 + 4x = 18 Add '-10' to each side of the equation. 10 + -10 + 4x = 18 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 18 + -10 4x = 18 + -10 Combine like terms: 18 + -10 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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