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Simplifying 8(x + -3) + -5(x + -2) = 0 Reorder the terms: 8(-3 + x) + -5(x + -2) = 0 (-3 * 8 + x * 8) + -5(x + -2) = 0 (-24 + 8x) + -5(x + -2) = 0 Reorder the terms: -24 + 8x + -5(-2 + x) = 0 -24 + 8x + (-2 * -5 + x * -5) = 0 -24 + 8x + (10 + -5x) = 0 Reorder the terms: -24 + 10 + 8x + -5x = 0 Combine like terms: -24 + 10 = -14 -14 + 8x + -5x = 0 Combine like terms: 8x + -5x = 3x -14 + 3x = 0 Solving -14 + 3x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 3x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 0 + 14 3x = 0 + 14 Combine like terms: 0 + 14 = 14 3x = 14 Divide each side by '3'. x = 4.666666667 Simplifying x = 4.666666667
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