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Simplifying 4(5x + -2) + -44 = 13x + 4 Reorder the terms: 4(-2 + 5x) + -44 = 13x + 4 (-2 * 4 + 5x * 4) + -44 = 13x + 4 (-8 + 20x) + -44 = 13x + 4 Reorder the terms: -8 + -44 + 20x = 13x + 4 Combine like terms: -8 + -44 = -52 -52 + 20x = 13x + 4 Reorder the terms: -52 + 20x = 4 + 13x Solving -52 + 20x = 4 + 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. -52 + 20x + -13x = 4 + 13x + -13x Combine like terms: 20x + -13x = 7x -52 + 7x = 4 + 13x + -13x Combine like terms: 13x + -13x = 0 -52 + 7x = 4 + 0 -52 + 7x = 4 Add '52' to each side of the equation. -52 + 52 + 7x = 4 + 52 Combine like terms: -52 + 52 = 0 0 + 7x = 4 + 52 7x = 4 + 52 Combine like terms: 4 + 52 = 56 7x = 56 Divide each side by '7'. x = 8 Simplifying x = 8
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