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Simplifying 10x + 22 = 13x + 10 Reorder the terms: 22 + 10x = 13x + 10 Reorder the terms: 22 + 10x = 10 + 13x Solving 22 + 10x = 10 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 22 + 10x + -13x = 10 + 13x + -13x Combine like terms: 10x + -13x = -3x 22 + -3x = 10 + 13x + -13x Combine like terms: 13x + -13x = 0 22 + -3x = 10 + 0 22 + -3x = 10 Add '-22' to each side of the equation. 22 + -22 + -3x = 10 + -22 Combine like terms: 22 + -22 = 0 0 + -3x = 10 + -22 -3x = 10 + -22 Combine like terms: 10 + -22 = -12 -3x = -12 Divide each side by '-3'. x = 4 Simplifying x = 4
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