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Simplifying 4(3x + -5) + 7(7x + -8) + -3x + -6 = 0 Reorder the terms: 4(-5 + 3x) + 7(7x + -8) + -3x + -6 = 0 (-5 * 4 + 3x * 4) + 7(7x + -8) + -3x + -6 = 0 (-20 + 12x) + 7(7x + -8) + -3x + -6 = 0 Reorder the terms: -20 + 12x + 7(-8 + 7x) + -3x + -6 = 0 -20 + 12x + (-8 * 7 + 7x * 7) + -3x + -6 = 0 -20 + 12x + (-56 + 49x) + -3x + -6 = 0 Reorder the terms: -20 + -56 + -6 + 12x + 49x + -3x = 0 Combine like terms: -20 + -56 = -76 -76 + -6 + 12x + 49x + -3x = 0 Combine like terms: -76 + -6 = -82 -82 + 12x + 49x + -3x = 0 Combine like terms: 12x + 49x = 61x -82 + 61x + -3x = 0 Combine like terms: 61x + -3x = 58x -82 + 58x = 0 Solving -82 + 58x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '82' to each side of the equation. -82 + 82 + 58x = 0 + 82 Combine like terms: -82 + 82 = 0 0 + 58x = 0 + 82 58x = 0 + 82 Combine like terms: 0 + 82 = 82 58x = 82 Divide each side by '58'. x = 1.413793103 Simplifying x = 1.413793103
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