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Simplifying 30 + -5x + 1 = 2x + -2 + -5x + 15 Reorder the terms: 30 + 1 + -5x = 2x + -2 + -5x + 15 Combine like terms: 30 + 1 = 31 31 + -5x = 2x + -2 + -5x + 15 Reorder the terms: 31 + -5x = -2 + 15 + 2x + -5x Combine like terms: -2 + 15 = 13 31 + -5x = 13 + 2x + -5x Combine like terms: 2x + -5x = -3x 31 + -5x = 13 + -3x Solving 31 + -5x = 13 + -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. 31 + -5x + 3x = 13 + -3x + 3x Combine like terms: -5x + 3x = -2x 31 + -2x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 31 + -2x = 13 + 0 31 + -2x = 13 Add '-31' to each side of the equation. 31 + -31 + -2x = 13 + -31 Combine like terms: 31 + -31 = 0 0 + -2x = 13 + -31 -2x = 13 + -31 Combine like terms: 13 + -31 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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