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Simplifying 6x + 4(x + 8) = 9x + 80 Reorder the terms: 6x + 4(8 + x) = 9x + 80 6x + (8 * 4 + x * 4) = 9x + 80 6x + (32 + 4x) = 9x + 80 Reorder the terms: 32 + 6x + 4x = 9x + 80 Combine like terms: 6x + 4x = 10x 32 + 10x = 9x + 80 Reorder the terms: 32 + 10x = 80 + 9x Solving 32 + 10x = 80 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 32 + 10x + -9x = 80 + 9x + -9x Combine like terms: 10x + -9x = 1x 32 + 1x = 80 + 9x + -9x Combine like terms: 9x + -9x = 0 32 + 1x = 80 + 0 32 + 1x = 80 Add '-32' to each side of the equation. 32 + -32 + 1x = 80 + -32 Combine like terms: 32 + -32 = 0 0 + 1x = 80 + -32 1x = 80 + -32 Combine like terms: 80 + -32 = 48 1x = 48 Divide each side by '1'. x = 48 Simplifying x = 48
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