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Simplifying 4(15x + -18) = 3(24x + -20) Reorder the terms: 4(-18 + 15x) = 3(24x + -20) (-18 * 4 + 15x * 4) = 3(24x + -20) (-72 + 60x) = 3(24x + -20) Reorder the terms: -72 + 60x = 3(-20 + 24x) -72 + 60x = (-20 * 3 + 24x * 3) -72 + 60x = (-60 + 72x) Solving -72 + 60x = -60 + 72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-72x' to each side of the equation. -72 + 60x + -72x = -60 + 72x + -72x Combine like terms: 60x + -72x = -12x -72 + -12x = -60 + 72x + -72x Combine like terms: 72x + -72x = 0 -72 + -12x = -60 + 0 -72 + -12x = -60 Add '72' to each side of the equation. -72 + 72 + -12x = -60 + 72 Combine like terms: -72 + 72 = 0 0 + -12x = -60 + 72 -12x = -60 + 72 Combine like terms: -60 + 72 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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