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Simplifying -3(6x + -74) + 5(7x + -15) + -4(5x + -6) = 0 Reorder the terms: -3(-74 + 6x) + 5(7x + -15) + -4(5x + -6) = 0 (-74 * -3 + 6x * -3) + 5(7x + -15) + -4(5x + -6) = 0 (222 + -18x) + 5(7x + -15) + -4(5x + -6) = 0 Reorder the terms: 222 + -18x + 5(-15 + 7x) + -4(5x + -6) = 0 222 + -18x + (-15 * 5 + 7x * 5) + -4(5x + -6) = 0 222 + -18x + (-75 + 35x) + -4(5x + -6) = 0 Reorder the terms: 222 + -18x + -75 + 35x + -4(-6 + 5x) = 0 222 + -18x + -75 + 35x + (-6 * -4 + 5x * -4) = 0 222 + -18x + -75 + 35x + (24 + -20x) = 0 Reorder the terms: 222 + -75 + 24 + -18x + 35x + -20x = 0 Combine like terms: 222 + -75 = 147 147 + 24 + -18x + 35x + -20x = 0 Combine like terms: 147 + 24 = 171 171 + -18x + 35x + -20x = 0 Combine like terms: -18x + 35x = 17x 171 + 17x + -20x = 0 Combine like terms: 17x + -20x = -3x 171 + -3x = 0 Solving 171 + -3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-171' to each side of the equation. 171 + -171 + -3x = 0 + -171 Combine like terms: 171 + -171 = 0 0 + -3x = 0 + -171 -3x = 0 + -171 Combine like terms: 0 + -171 = -171 -3x = -171 Divide each side by '-3'. x = 57 Simplifying x = 57
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