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Simplifying 2x + 4(5x + -3) = 5(4x + 4) Reorder the terms: 2x + 4(-3 + 5x) = 5(4x + 4) 2x + (-3 * 4 + 5x * 4) = 5(4x + 4) 2x + (-12 + 20x) = 5(4x + 4) Reorder the terms: -12 + 2x + 20x = 5(4x + 4) Combine like terms: 2x + 20x = 22x -12 + 22x = 5(4x + 4) Reorder the terms: -12 + 22x = 5(4 + 4x) -12 + 22x = (4 * 5 + 4x * 5) -12 + 22x = (20 + 20x) Solving -12 + 22x = 20 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -12 + 22x + -20x = 20 + 20x + -20x Combine like terms: 22x + -20x = 2x -12 + 2x = 20 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + 2x = 20 + 0 -12 + 2x = 20 Add '12' to each side of the equation. -12 + 12 + 2x = 20 + 12 Combine like terms: -12 + 12 = 0 0 + 2x = 20 + 12 2x = 20 + 12 Combine like terms: 20 + 12 = 32 2x = 32 Divide each side by '2'. x = 16 Simplifying x = 16
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