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Simplifying 5x(8 + -12x) = 6x(4 + -10x) (8 * 5x + -12x * 5x) = 6x(4 + -10x) (40x + -60x2) = 6x(4 + -10x) 40x + -60x2 = (4 * 6x + -10x * 6x) 40x + -60x2 = (24x + -60x2) Add '60x2' to each side of the equation. 40x + -60x2 + 60x2 = 24x + -60x2 + 60x2 Combine like terms: -60x2 + 60x2 = 0 40x + 0 = 24x + -60x2 + 60x2 40x = 24x + -60x2 + 60x2 Combine like terms: -60x2 + 60x2 = 0 40x = 24x + 0 40x = 24x Solving 40x = 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. 40x + -24x = 24x + -24x Combine like terms: 40x + -24x = 16x 16x = 24x + -24x Combine like terms: 24x + -24x = 0 16x = 0 Divide each side by '16'. x = 0 Simplifying x = 0
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