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Simplifying 4(x + 2) + 6(x + 4) = 8x + 40 Reorder the terms: 4(2 + x) + 6(x + 4) = 8x + 40 (2 * 4 + x * 4) + 6(x + 4) = 8x + 40 (8 + 4x) + 6(x + 4) = 8x + 40 Reorder the terms: 8 + 4x + 6(4 + x) = 8x + 40 8 + 4x + (4 * 6 + x * 6) = 8x + 40 8 + 4x + (24 + 6x) = 8x + 40 Reorder the terms: 8 + 24 + 4x + 6x = 8x + 40 Combine like terms: 8 + 24 = 32 32 + 4x + 6x = 8x + 40 Combine like terms: 4x + 6x = 10x 32 + 10x = 8x + 40 Reorder the terms: 32 + 10x = 40 + 8x Solving 32 + 10x = 40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 32 + 10x + -8x = 40 + 8x + -8x Combine like terms: 10x + -8x = 2x 32 + 2x = 40 + 8x + -8x Combine like terms: 8x + -8x = 0 32 + 2x = 40 + 0 32 + 2x = 40 Add '-32' to each side of the equation. 32 + -32 + 2x = 40 + -32 Combine like terms: 32 + -32 = 0 0 + 2x = 40 + -32 2x = 40 + -32 Combine like terms: 40 + -32 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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