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