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Simplifying 5(x + -7) + -3(2x + 9) = 0 Reorder the terms: 5(-7 + x) + -3(2x + 9) = 0 (-7 * 5 + x * 5) + -3(2x + 9) = 0 (-35 + 5x) + -3(2x + 9) = 0 Reorder the terms: -35 + 5x + -3(9 + 2x) = 0 -35 + 5x + (9 * -3 + 2x * -3) = 0 -35 + 5x + (-27 + -6x) = 0 Reorder the terms: -35 + -27 + 5x + -6x = 0 Combine like terms: -35 + -27 = -62 -62 + 5x + -6x = 0 Combine like terms: 5x + -6x = -1x -62 + -1x = 0 Solving -62 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + -1x = 0 + 62 Combine like terms: -62 + 62 = 0 0 + -1x = 0 + 62 -1x = 0 + 62 Combine like terms: 0 + 62 = 62 -1x = 62 Divide each side by '-1'. x = -62 Simplifying x = -62
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