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Simplifying 8(4 + -9x) = 4(3 + -4x) + 4x (4 * 8 + -9x * 8) = 4(3 + -4x) + 4x (32 + -72x) = 4(3 + -4x) + 4x 32 + -72x = (3 * 4 + -4x * 4) + 4x 32 + -72x = (12 + -16x) + 4x Combine like terms: -16x + 4x = -12x 32 + -72x = 12 + -12x Solving 32 + -72x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 32 + -72x + 12x = 12 + -12x + 12x Combine like terms: -72x + 12x = -60x 32 + -60x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 32 + -60x = 12 + 0 32 + -60x = 12 Add '-32' to each side of the equation. 32 + -32 + -60x = 12 + -32 Combine like terms: 32 + -32 = 0 0 + -60x = 12 + -32 -60x = 12 + -32 Combine like terms: 12 + -32 = -20 -60x = -20 Divide each side by '-60'. x = 0.3333333333 Simplifying x = 0.3333333333
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