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Simplifying 5(4x + -2) = 4(6x + -5) Reorder the terms: 5(-2 + 4x) = 4(6x + -5) (-2 * 5 + 4x * 5) = 4(6x + -5) (-10 + 20x) = 4(6x + -5) Reorder the terms: -10 + 20x = 4(-5 + 6x) -10 + 20x = (-5 * 4 + 6x * 4) -10 + 20x = (-20 + 24x) Solving -10 + 20x = -20 + 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. -10 + 20x + -24x = -20 + 24x + -24x Combine like terms: 20x + -24x = -4x -10 + -4x = -20 + 24x + -24x Combine like terms: 24x + -24x = 0 -10 + -4x = -20 + 0 -10 + -4x = -20 Add '10' to each side of the equation. -10 + 10 + -4x = -20 + 10 Combine like terms: -10 + 10 = 0 0 + -4x = -20 + 10 -4x = -20 + 10 Combine like terms: -20 + 10 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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