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Simplifying 2(2x + 4) = 3x + 19 Reorder the terms: 2(4 + 2x) = 3x + 19 (4 * 2 + 2x * 2) = 3x + 19 (8 + 4x) = 3x + 19 Reorder the terms: 8 + 4x = 19 + 3x Solving 8 + 4x = 19 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8 + 4x + -3x = 19 + 3x + -3x Combine like terms: 4x + -3x = 1x 8 + 1x = 19 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + 1x = 19 + 0 8 + 1x = 19 Add '-8' to each side of the equation. 8 + -8 + 1x = 19 + -8 Combine like terms: 8 + -8 = 0 0 + 1x = 19 + -8 1x = 19 + -8 Combine like terms: 19 + -8 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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