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Simplifying 5(x + -7) + 3x + -2 = 0 Reorder the terms: 5(-7 + x) + 3x + -2 = 0 (-7 * 5 + x * 5) + 3x + -2 = 0 (-35 + 5x) + 3x + -2 = 0 Reorder the terms: -35 + -2 + 5x + 3x = 0 Combine like terms: -35 + -2 = -37 -37 + 5x + 3x = 0 Combine like terms: 5x + 3x = 8x -37 + 8x = 0 Solving -37 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37' to each side of the equation. -37 + 37 + 8x = 0 + 37 Combine like terms: -37 + 37 = 0 0 + 8x = 0 + 37 8x = 0 + 37 Combine like terms: 0 + 37 = 37 8x = 37 Divide each side by '8'. x = 4.625 Simplifying x = 4.625
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