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Simplifying 5(x + -7) + -2(3x + -1) = 0 Reorder the terms: 5(-7 + x) + -2(3x + -1) = 0 (-7 * 5 + x * 5) + -2(3x + -1) = 0 (-35 + 5x) + -2(3x + -1) = 0 Reorder the terms: -35 + 5x + -2(-1 + 3x) = 0 -35 + 5x + (-1 * -2 + 3x * -2) = 0 -35 + 5x + (2 + -6x) = 0 Reorder the terms: -35 + 2 + 5x + -6x = 0 Combine like terms: -35 + 2 = -33 -33 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -33 + -1x = 0 Solving -33 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + -1x = 0 + 33 Combine like terms: -33 + 33 = 0 0 + -1x = 0 + 33 -1x = 0 + 33 Combine like terms: 0 + 33 = 33 -1x = 33 Divide each side by '-1'. x = -33 Simplifying x = -33
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