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Simplifying 2(x + 2) + 3(4 + x) = x + 8 Reorder the terms: 2(2 + x) + 3(4 + x) = x + 8 (2 * 2 + x * 2) + 3(4 + x) = x + 8 (4 + 2x) + 3(4 + x) = x + 8 4 + 2x + (4 * 3 + x * 3) = x + 8 4 + 2x + (12 + 3x) = x + 8 Reorder the terms: 4 + 12 + 2x + 3x = x + 8 Combine like terms: 4 + 12 = 16 16 + 2x + 3x = x + 8 Combine like terms: 2x + 3x = 5x 16 + 5x = x + 8 Reorder the terms: 16 + 5x = 8 + x Solving 16 + 5x = 8 + 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. 16 + 5x + -1x = 8 + x + -1x Combine like terms: 5x + -1x = 4x 16 + 4x = 8 + x + -1x Combine like terms: x + -1x = 0 16 + 4x = 8 + 0 16 + 4x = 8 Add '-16' to each side of the equation. 16 + -16 + 4x = 8 + -16 Combine like terms: 16 + -16 = 0 0 + 4x = 8 + -16 4x = 8 + -16 Combine like terms: 8 + -16 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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