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Simplifying 7(3x + -5) + -14(x + -1) = 0 Reorder the terms: 7(-5 + 3x) + -14(x + -1) = 0 (-5 * 7 + 3x * 7) + -14(x + -1) = 0 (-35 + 21x) + -14(x + -1) = 0 Reorder the terms: -35 + 21x + -14(-1 + x) = 0 -35 + 21x + (-1 * -14 + x * -14) = 0 -35 + 21x + (14 + -14x) = 0 Reorder the terms: -35 + 14 + 21x + -14x = 0 Combine like terms: -35 + 14 = -21 -21 + 21x + -14x = 0 Combine like terms: 21x + -14x = 7x -21 + 7x = 0 Solving -21 + 7x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 7x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = 0 + 21 7x = 0 + 21 Combine like terms: 0 + 21 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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