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Simplifying 3(6x + -7) + 6(5x + -8) = 0 Reorder the terms: 3(-7 + 6x) + 6(5x + -8) = 0 (-7 * 3 + 6x * 3) + 6(5x + -8) = 0 (-21 + 18x) + 6(5x + -8) = 0 Reorder the terms: -21 + 18x + 6(-8 + 5x) = 0 -21 + 18x + (-8 * 6 + 5x * 6) = 0 -21 + 18x + (-48 + 30x) = 0 Reorder the terms: -21 + -48 + 18x + 30x = 0 Combine like terms: -21 + -48 = -69 -69 + 18x + 30x = 0 Combine like terms: 18x + 30x = 48x -69 + 48x = 0 Solving -69 + 48x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '69' to each side of the equation. -69 + 69 + 48x = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 48x = 0 + 69 48x = 0 + 69 Combine like terms: 0 + 69 = 69 48x = 69 Divide each side by '48'. x = 1.4375 Simplifying x = 1.4375
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