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Simplifying 5(3x + -7) + 4 + -7x = 9 Reorder the terms: 5(-7 + 3x) + 4 + -7x = 9 (-7 * 5 + 3x * 5) + 4 + -7x = 9 (-35 + 15x) + 4 + -7x = 9 Reorder the terms: -35 + 4 + 15x + -7x = 9 Combine like terms: -35 + 4 = -31 -31 + 15x + -7x = 9 Combine like terms: 15x + -7x = 8x -31 + 8x = 9 Solving -31 + 8x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 8x = 9 + 31 Combine like terms: -31 + 31 = 0 0 + 8x = 9 + 31 8x = 9 + 31 Combine like terms: 9 + 31 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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