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Simplifying 5(x + 4) = 3(4x + -2) Reorder the terms: 5(4 + x) = 3(4x + -2) (4 * 5 + x * 5) = 3(4x + -2) (20 + 5x) = 3(4x + -2) Reorder the terms: 20 + 5x = 3(-2 + 4x) 20 + 5x = (-2 * 3 + 4x * 3) 20 + 5x = (-6 + 12x) Solving 20 + 5x = -6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 20 + 5x + -12x = -6 + 12x + -12x Combine like terms: 5x + -12x = -7x 20 + -7x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 20 + -7x = -6 + 0 20 + -7x = -6 Add '-20' to each side of the equation. 20 + -20 + -7x = -6 + -20 Combine like terms: 20 + -20 = 0 0 + -7x = -6 + -20 -7x = -6 + -20 Combine like terms: -6 + -20 = -26 -7x = -26 Divide each side by '-7'. x = 3.714285714 Simplifying x = 3.714285714
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