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Simplifying 7(8x + -7) + -3(3x + -6) = 0 Reorder the terms: 7(-7 + 8x) + -3(3x + -6) = 0 (-7 * 7 + 8x * 7) + -3(3x + -6) = 0 (-49 + 56x) + -3(3x + -6) = 0 Reorder the terms: -49 + 56x + -3(-6 + 3x) = 0 -49 + 56x + (-6 * -3 + 3x * -3) = 0 -49 + 56x + (18 + -9x) = 0 Reorder the terms: -49 + 18 + 56x + -9x = 0 Combine like terms: -49 + 18 = -31 -31 + 56x + -9x = 0 Combine like terms: 56x + -9x = 47x -31 + 47x = 0 Solving -31 + 47x = 0 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 + 47x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 47x = 0 + 31 47x = 0 + 31 Combine like terms: 0 + 31 = 31 47x = 31 Divide each side by '47'. x = 0.6595744681 Simplifying x = 0.6595744681
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