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Simplifying 4(3x + 8) = 2(1 + 9x) Reorder the terms: 4(8 + 3x) = 2(1 + 9x) (8 * 4 + 3x * 4) = 2(1 + 9x) (32 + 12x) = 2(1 + 9x) 32 + 12x = (1 * 2 + 9x * 2) 32 + 12x = (2 + 18x) Solving 32 + 12x = 2 + 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 + 12x + -18x = 2 + 18x + -18x Combine like terms: 12x + -18x = -6x 32 + -6x = 2 + 18x + -18x Combine like terms: 18x + -18x = 0 32 + -6x = 2 + 0 32 + -6x = 2 Add '-32' to each side of the equation. 32 + -32 + -6x = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -6x = 2 + -32 -6x = 2 + -32 Combine like terms: 2 + -32 = -30 -6x = -30 Divide each side by '-6'. x = 5 Simplifying x = 5
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