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Simplifying 2(2x + 23) = x + 19 Reorder the terms: 2(23 + 2x) = x + 19 (23 * 2 + 2x * 2) = x + 19 (46 + 4x) = x + 19 Reorder the terms: 46 + 4x = 19 + x Solving 46 + 4x = 19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 46 + 4x + -1x = 19 + x + -1x Combine like terms: 4x + -1x = 3x 46 + 3x = 19 + x + -1x Combine like terms: x + -1x = 0 46 + 3x = 19 + 0 46 + 3x = 19 Add '-46' to each side of the equation. 46 + -46 + 3x = 19 + -46 Combine like terms: 46 + -46 = 0 0 + 3x = 19 + -46 3x = 19 + -46 Combine like terms: 19 + -46 = -27 3x = -27 Divide each side by '3'. x = -9 Simplifying x = -9
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