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Simplifying 3x + 19 = 2(x + 10) Reorder the terms: 19 + 3x = 2(x + 10) Reorder the terms: 19 + 3x = 2(10 + x) 19 + 3x = (10 * 2 + x * 2) 19 + 3x = (20 + 2x) Solving 19 + 3x = 20 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 19 + 3x + -2x = 20 + 2x + -2x Combine like terms: 3x + -2x = 1x 19 + 1x = 20 + 2x + -2x Combine like terms: 2x + -2x = 0 19 + 1x = 20 + 0 19 + 1x = 20 Add '-19' to each side of the equation. 19 + -19 + 1x = 20 + -19 Combine like terms: 19 + -19 = 0 0 + 1x = 20 + -19 1x = 20 + -19 Combine like terms: 20 + -19 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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