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Simplifying 5x + -3x + 2 = 5x + 18 Reorder the terms: 2 + 5x + -3x = 5x + 18 Combine like terms: 5x + -3x = 2x 2 + 2x = 5x + 18 Reorder the terms: 2 + 2x = 18 + 5x Solving 2 + 2x = 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. 2 + 2x + -5x = 18 + 5x + -5x Combine like terms: 2x + -5x = -3x 2 + -3x = 18 + 5x + -5x Combine like terms: 5x + -5x = 0 2 + -3x = 18 + 0 2 + -3x = 18 Add '-2' to each side of the equation. 2 + -2 + -3x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 18 + -2 -3x = 18 + -2 Combine like terms: 18 + -2 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333
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