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Simplifying 5(x + -7) + -3(x + -2) = 0 Reorder the terms: 5(-7 + x) + -3(x + -2) = 0 (-7 * 5 + x * 5) + -3(x + -2) = 0 (-35 + 5x) + -3(x + -2) = 0 Reorder the terms: -35 + 5x + -3(-2 + x) = 0 -35 + 5x + (-2 * -3 + x * -3) = 0 -35 + 5x + (6 + -3x) = 0 Reorder the terms: -35 + 6 + 5x + -3x = 0 Combine like terms: -35 + 6 = -29 -29 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -29 + 2x = 0 Solving -29 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + 2x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 2x = 0 + 29 2x = 0 + 29 Combine like terms: 0 + 29 = 29 2x = 29 Divide each side by '2'. x = 14.5 Simplifying x = 14.5
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