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Simplifying 5(6 + -4x) = 4(8 + -6x) (6 * 5 + -4x * 5) = 4(8 + -6x) (30 + -20x) = 4(8 + -6x) 30 + -20x = (8 * 4 + -6x * 4) 30 + -20x = (32 + -24x) Solving 30 + -20x = 32 + -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 = 32 + -24x + 24x Combine like terms: -20x + 24x = 4x 30 + 4x = 32 + -24x + 24x Combine like terms: -24x + 24x = 0 30 + 4x = 32 + 0 30 + 4x = 32 Add '-30' to each side of the equation. 30 + -30 + 4x = 32 + -30 Combine like terms: 30 + -30 = 0 0 + 4x = 32 + -30 4x = 32 + -30 Combine like terms: 32 + -30 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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