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Simplifying 19x + -10 = 13x + 20 Reorder the terms: -10 + 19x = 13x + 20 Reorder the terms: -10 + 19x = 20 + 13x Solving -10 + 19x = 20 + 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. -10 + 19x + -13x = 20 + 13x + -13x Combine like terms: 19x + -13x = 6x -10 + 6x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 -10 + 6x = 20 + 0 -10 + 6x = 20 Add '10' to each side of the equation. -10 + 10 + 6x = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 6x = 20 + 10 6x = 20 + 10 Combine like terms: 20 + 10 = 30 6x = 30 Divide each side by '6'. x = 5 Simplifying x = 5
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