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Simplifying 4(4 + -8x) + -3(6x + -5) = 6(3 + -4x) + -5(4x + -2) (4 * 4 + -8x * 4) + -3(6x + -5) = 6(3 + -4x) + -5(4x + -2) (16 + -32x) + -3(6x + -5) = 6(3 + -4x) + -5(4x + -2) Reorder the terms: 16 + -32x + -3(-5 + 6x) = 6(3 + -4x) + -5(4x + -2) 16 + -32x + (-5 * -3 + 6x * -3) = 6(3 + -4x) + -5(4x + -2) 16 + -32x + (15 + -18x) = 6(3 + -4x) + -5(4x + -2) Reorder the terms: 16 + 15 + -32x + -18x = 6(3 + -4x) + -5(4x + -2) Combine like terms: 16 + 15 = 31 31 + -32x + -18x = 6(3 + -4x) + -5(4x + -2) Combine like terms: -32x + -18x = -50x 31 + -50x = 6(3 + -4x) + -5(4x + -2) 31 + -50x = (3 * 6 + -4x * 6) + -5(4x + -2) 31 + -50x = (18 + -24x) + -5(4x + -2) Reorder the terms: 31 + -50x = 18 + -24x + -5(-2 + 4x) 31 + -50x = 18 + -24x + (-2 * -5 + 4x * -5) 31 + -50x = 18 + -24x + (10 + -20x) Reorder the terms: 31 + -50x = 18 + 10 + -24x + -20x Combine like terms: 18 + 10 = 28 31 + -50x = 28 + -24x + -20x Combine like terms: -24x + -20x = -44x 31 + -50x = 28 + -44x Solving 31 + -50x = 28 + -44x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '44x' to each side of the equation. 31 + -50x + 44x = 28 + -44x + 44x Combine like terms: -50x + 44x = -6x 31 + -6x = 28 + -44x + 44x Combine like terms: -44x + 44x = 0 31 + -6x = 28 + 0 31 + -6x = 28 Add '-31' to each side of the equation. 31 + -31 + -6x = 28 + -31 Combine like terms: 31 + -31 = 0 0 + -6x = 28 + -31 -6x = 28 + -31 Combine like terms: 28 + -31 = -3 -6x = -3 Divide each side by '-6'. x = 0.5 Simplifying x = 0.5
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