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Simplifying 4(6x + -5) = 5(3x + -4) Reorder the terms: 4(-5 + 6x) = 5(3x + -4) (-5 * 4 + 6x * 4) = 5(3x + -4) (-20 + 24x) = 5(3x + -4) Reorder the terms: -20 + 24x = 5(-4 + 3x) -20 + 24x = (-4 * 5 + 3x * 5) -20 + 24x = (-20 + 15x) Add '20' to each side of the equation. -20 + 20 + 24x = -20 + 20 + 15x Combine like terms: -20 + 20 = 0 0 + 24x = -20 + 20 + 15x 24x = -20 + 20 + 15x Combine like terms: -20 + 20 = 0 24x = 0 + 15x 24x = 15x Solving 24x = 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 24x + -15x = 15x + -15x Combine like terms: 24x + -15x = 9x 9x = 15x + -15x Combine like terms: 15x + -15x = 0 9x = 0 Divide each side by '9'. x = 0 Simplifying x = 0
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