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Simplifying 8(3x + 4) = 18(x + 5) Reorder the terms: 8(4 + 3x) = 18(x + 5) (4 * 8 + 3x * 8) = 18(x + 5) (32 + 24x) = 18(x + 5) Reorder the terms: 32 + 24x = 18(5 + x) 32 + 24x = (5 * 18 + x * 18) 32 + 24x = (90 + 18x) Solving 32 + 24x = 90 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 32 + 24x + -18x = 90 + 18x + -18x Combine like terms: 24x + -18x = 6x 32 + 6x = 90 + 18x + -18x Combine like terms: 18x + -18x = 0 32 + 6x = 90 + 0 32 + 6x = 90 Add '-32' to each side of the equation. 32 + -32 + 6x = 90 + -32 Combine like terms: 32 + -32 = 0 0 + 6x = 90 + -32 6x = 90 + -32 Combine like terms: 90 + -32 = 58 6x = 58 Divide each side by '6'. x = 9.666666667 Simplifying x = 9.666666667
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