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Simplifying 3(5x + -7) = 5x + -1 Reorder the terms: 3(-7 + 5x) = 5x + -1 (-7 * 3 + 5x * 3) = 5x + -1 (-21 + 15x) = 5x + -1 Reorder the terms: -21 + 15x = -1 + 5x Solving -21 + 15x = -1 + 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. -21 + 15x + -5x = -1 + 5x + -5x Combine like terms: 15x + -5x = 10x -21 + 10x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + 10x = -1 + 0 -21 + 10x = -1 Add '21' to each side of the equation. -21 + 21 + 10x = -1 + 21 Combine like terms: -21 + 21 = 0 0 + 10x = -1 + 21 10x = -1 + 21 Combine like terms: -1 + 21 = 20 10x = 20 Divide each side by '10'. x = 2 Simplifying x = 2
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