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Simplifying 10x + 2x + -10 = 15x + -13x + 90 Reorder the terms: -10 + 10x + 2x = 15x + -13x + 90 Combine like terms: 10x + 2x = 12x -10 + 12x = 15x + -13x + 90 Reorder the terms: -10 + 12x = 90 + 15x + -13x Combine like terms: 15x + -13x = 2x -10 + 12x = 90 + 2x Solving -10 + 12x = 90 + 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 + 12x + -2x = 90 + 2x + -2x Combine like terms: 12x + -2x = 10x -10 + 10x = 90 + 2x + -2x Combine like terms: 2x + -2x = 0 -10 + 10x = 90 + 0 -10 + 10x = 90 Add '10' to each side of the equation. -10 + 10 + 10x = 90 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 90 + 10 10x = 90 + 10 Combine like terms: 90 + 10 = 100 10x = 100 Divide each side by '10'. x = 10 Simplifying x = 10
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