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Simplifying 3(5x + -7) = 7x + 7 + -6x Reorder the terms: 3(-7 + 5x) = 7x + 7 + -6x (-7 * 3 + 5x * 3) = 7x + 7 + -6x (-21 + 15x) = 7x + 7 + -6x Reorder the terms: -21 + 15x = 7 + 7x + -6x Combine like terms: 7x + -6x = 1x -21 + 15x = 7 + 1x Solving -21 + 15x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -21 + 15x + -1x = 7 + 1x + -1x Combine like terms: 15x + -1x = 14x -21 + 14x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 -21 + 14x = 7 + 0 -21 + 14x = 7 Add '21' to each side of the equation. -21 + 21 + 14x = 7 + 21 Combine like terms: -21 + 21 = 0 0 + 14x = 7 + 21 14x = 7 + 21 Combine like terms: 7 + 21 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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