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Simplifying 4(5x + -2) + -4 = 13x + 2 Reorder the terms: 4(-2 + 5x) + -4 = 13x + 2 (-2 * 4 + 5x * 4) + -4 = 13x + 2 (-8 + 20x) + -4 = 13x + 2 Reorder the terms: -8 + -4 + 20x = 13x + 2 Combine like terms: -8 + -4 = -12 -12 + 20x = 13x + 2 Reorder the terms: -12 + 20x = 2 + 13x Solving -12 + 20x = 2 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -12 + 20x + -13x = 2 + 13x + -13x Combine like terms: 20x + -13x = 7x -12 + 7x = 2 + 13x + -13x Combine like terms: 13x + -13x = 0 -12 + 7x = 2 + 0 -12 + 7x = 2 Add '12' to each side of the equation. -12 + 12 + 7x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 2 + 12 7x = 2 + 12 Combine like terms: 2 + 12 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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