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Simplifying 6(x + -8) + 7(x + -3) = 0 Reorder the terms: 6(-8 + x) + 7(x + -3) = 0 (-8 * 6 + x * 6) + 7(x + -3) = 0 (-48 + 6x) + 7(x + -3) = 0 Reorder the terms: -48 + 6x + 7(-3 + x) = 0 -48 + 6x + (-3 * 7 + x * 7) = 0 -48 + 6x + (-21 + 7x) = 0 Reorder the terms: -48 + -21 + 6x + 7x = 0 Combine like terms: -48 + -21 = -69 -69 + 6x + 7x = 0 Combine like terms: 6x + 7x = 13x -69 + 13x = 0 Solving -69 + 13x = 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 + 13x = 0 + 69 Combine like terms: -69 + 69 = 0 0 + 13x = 0 + 69 13x = 0 + 69 Combine like terms: 0 + 69 = 69 13x = 69 Divide each side by '13'. x = 5.307692308 Simplifying x = 5.307692308
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