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Simplifying 15x + 10 + -10x = 2x + 46 Reorder the terms: 10 + 15x + -10x = 2x + 46 Combine like terms: 15x + -10x = 5x 10 + 5x = 2x + 46 Reorder the terms: 10 + 5x = 46 + 2x Solving 10 + 5x = 46 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 10 + 5x + -2x = 46 + 2x + -2x Combine like terms: 5x + -2x = 3x 10 + 3x = 46 + 2x + -2x Combine like terms: 2x + -2x = 0 10 + 3x = 46 + 0 10 + 3x = 46 Add '-10' to each side of the equation. 10 + -10 + 3x = 46 + -10 Combine like terms: 10 + -10 = 0 0 + 3x = 46 + -10 3x = 46 + -10 Combine like terms: 46 + -10 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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