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Simplifying 4(5x + -1) + 2 = 13 + 5x Reorder the terms: 4(-1 + 5x) + 2 = 13 + 5x (-1 * 4 + 5x * 4) + 2 = 13 + 5x (-4 + 20x) + 2 = 13 + 5x Reorder the terms: -4 + 2 + 20x = 13 + 5x Combine like terms: -4 + 2 = -2 -2 + 20x = 13 + 5x Solving -2 + 20x = 13 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 20x + -5x = 13 + 5x + -5x Combine like terms: 20x + -5x = 15x -2 + 15x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 15x = 13 + 0 -2 + 15x = 13 Add '2' to each side of the equation. -2 + 2 + 15x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 15x = 13 + 2 15x = 13 + 2 Combine like terms: 13 + 2 = 15 15x = 15 Divide each side by '15'. x = 1 Simplifying x = 1
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