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Simplifying 2(4x + 2) = 5(x + 3) + 4 Reorder the terms: 2(2 + 4x) = 5(x + 3) + 4 (2 * 2 + 4x * 2) = 5(x + 3) + 4 (4 + 8x) = 5(x + 3) + 4 Reorder the terms: 4 + 8x = 5(3 + x) + 4 4 + 8x = (3 * 5 + x * 5) + 4 4 + 8x = (15 + 5x) + 4 Reorder the terms: 4 + 8x = 15 + 4 + 5x Combine like terms: 15 + 4 = 19 4 + 8x = 19 + 5x Solving 4 + 8x = 19 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4 + 8x + -5x = 19 + 5x + -5x Combine like terms: 8x + -5x = 3x 4 + 3x = 19 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 3x = 19 + 0 4 + 3x = 19 Add '-4' to each side of the equation. 4 + -4 + 3x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + 3x = 19 + -4 3x = 19 + -4 Combine like terms: 19 + -4 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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