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Simplifying 2x + 3 + 5x = 19 + -6x + 10 Reorder the terms: 3 + 2x + 5x = 19 + -6x + 10 Combine like terms: 2x + 5x = 7x 3 + 7x = 19 + -6x + 10 Reorder the terms: 3 + 7x = 19 + 10 + -6x Combine like terms: 19 + 10 = 29 3 + 7x = 29 + -6x Solving 3 + 7x = 29 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + 7x + 6x = 29 + -6x + 6x Combine like terms: 7x + 6x = 13x 3 + 13x = 29 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + 13x = 29 + 0 3 + 13x = 29 Add '-3' to each side of the equation. 3 + -3 + 13x = 29 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 29 + -3 13x = 29 + -3 Combine like terms: 29 + -3 = 26 13x = 26 Divide each side by '13'. x = 2 Simplifying x = 2
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