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Simplifying 3x + 19 = 10x + 5 Reorder the terms: 19 + 3x = 10x + 5 Reorder the terms: 19 + 3x = 5 + 10x Solving 19 + 3x = 5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 19 + 3x + -10x = 5 + 10x + -10x Combine like terms: 3x + -10x = -7x 19 + -7x = 5 + 10x + -10x Combine like terms: 10x + -10x = 0 19 + -7x = 5 + 0 19 + -7x = 5 Add '-19' to each side of the equation. 19 + -19 + -7x = 5 + -19 Combine like terms: 19 + -19 = 0 0 + -7x = 5 + -19 -7x = 5 + -19 Combine like terms: 5 + -19 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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