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Simplifying 5x + 12 + -2x = 18 + -3x Reorder the terms: 12 + 5x + -2x = 18 + -3x Combine like terms: 5x + -2x = 3x 12 + 3x = 18 + -3x Solving 12 + 3x = 18 + -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 + 3x + 3x = 18 + -3x + 3x Combine like terms: 3x + 3x = 6x 12 + 6x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 12 + 6x = 18 + 0 12 + 6x = 18 Add '-12' to each side of the equation. 12 + -12 + 6x = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 18 + -12 6x = 18 + -12 Combine like terms: 18 + -12 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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