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Simplifying 4(x + 8) + 2x = 42 + 5x Reorder the terms: 4(8 + x) + 2x = 42 + 5x (8 * 4 + x * 4) + 2x = 42 + 5x (32 + 4x) + 2x = 42 + 5x Combine like terms: 4x + 2x = 6x 32 + 6x = 42 + 5x Solving 32 + 6x = 42 + 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. 32 + 6x + -5x = 42 + 5x + -5x Combine like terms: 6x + -5x = 1x 32 + 1x = 42 + 5x + -5x Combine like terms: 5x + -5x = 0 32 + 1x = 42 + 0 32 + 1x = 42 Add '-32' to each side of the equation. 32 + -32 + 1x = 42 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 42 + -32 1x = 42 + -32 Combine like terms: 42 + -32 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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