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Simplifying 4(3 + 8x) = 40x + 9 (3 * 4 + 8x * 4) = 40x + 9 (12 + 32x) = 40x + 9 Reorder the terms: 12 + 32x = 9 + 40x Solving 12 + 32x = 9 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 12 + 32x + -40x = 9 + 40x + -40x Combine like terms: 32x + -40x = -8x 12 + -8x = 9 + 40x + -40x Combine like terms: 40x + -40x = 0 12 + -8x = 9 + 0 12 + -8x = 9 Add '-12' to each side of the equation. 12 + -12 + -8x = 9 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 9 + -12 -8x = 9 + -12 Combine like terms: 9 + -12 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375
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