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Simplifying 3(x + 8) + 4 = 2(x + 4) + 2x Reorder the terms: 3(8 + x) + 4 = 2(x + 4) + 2x (8 * 3 + x * 3) + 4 = 2(x + 4) + 2x (24 + 3x) + 4 = 2(x + 4) + 2x Reorder the terms: 24 + 4 + 3x = 2(x + 4) + 2x Combine like terms: 24 + 4 = 28 28 + 3x = 2(x + 4) + 2x Reorder the terms: 28 + 3x = 2(4 + x) + 2x 28 + 3x = (4 * 2 + x * 2) + 2x 28 + 3x = (8 + 2x) + 2x Combine like terms: 2x + 2x = 4x 28 + 3x = 8 + 4x Solving 28 + 3x = 8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 28 + 3x + -4x = 8 + 4x + -4x Combine like terms: 3x + -4x = -1x 28 + -1x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 28 + -1x = 8 + 0 28 + -1x = 8 Add '-28' to each side of the equation. 28 + -28 + -1x = 8 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 8 + -28 -1x = 8 + -28 Combine like terms: 8 + -28 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20
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