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Simplifying 5(6 + -4x) = 3(8 + -8x) (6 * 5 + -4x * 5) = 3(8 + -8x) (30 + -20x) = 3(8 + -8x) 30 + -20x = (8 * 3 + -8x * 3) 30 + -20x = (24 + -24x) Solving 30 + -20x = 24 + -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 30 + -20x + 24x = 24 + -24x + 24x Combine like terms: -20x + 24x = 4x 30 + 4x = 24 + -24x + 24x Combine like terms: -24x + 24x = 0 30 + 4x = 24 + 0 30 + 4x = 24 Add '-30' to each side of the equation. 30 + -30 + 4x = 24 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 24 + -30 4x = 24 + -30 Combine like terms: 24 + -30 = -6 4x = -6 Divide each side by '4'. x = -1.5 Simplifying x = -1.5
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