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Simplifying 5(x + -6) + -3(x + -7) = 0 Reorder the terms: 5(-6 + x) + -3(x + -7) = 0 (-6 * 5 + x * 5) + -3(x + -7) = 0 (-30 + 5x) + -3(x + -7) = 0 Reorder the terms: -30 + 5x + -3(-7 + x) = 0 -30 + 5x + (-7 * -3 + x * -3) = 0 -30 + 5x + (21 + -3x) = 0 Reorder the terms: -30 + 21 + 5x + -3x = 0 Combine like terms: -30 + 21 = -9 -9 + 5x + -3x = 0 Combine like terms: 5x + -3x = 2x -9 + 2x = 0 Solving -9 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 0 + 9 2x = 0 + 9 Combine like terms: 0 + 9 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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