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Simplifying 3(x + -4) + 5(x + -8) = 0 Reorder the terms: 3(-4 + x) + 5(x + -8) = 0 (-4 * 3 + x * 3) + 5(x + -8) = 0 (-12 + 3x) + 5(x + -8) = 0 Reorder the terms: -12 + 3x + 5(-8 + x) = 0 -12 + 3x + (-8 * 5 + x * 5) = 0 -12 + 3x + (-40 + 5x) = 0 Reorder the terms: -12 + -40 + 3x + 5x = 0 Combine like terms: -12 + -40 = -52 -52 + 3x + 5x = 0 Combine like terms: 3x + 5x = 8x -52 + 8x = 0 Solving -52 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '52' to each side of the equation. -52 + 52 + 8x = 0 + 52 Combine like terms: -52 + 52 = 0 0 + 8x = 0 + 52 8x = 0 + 52 Combine like terms: 0 + 52 = 52 8x = 52 Divide each side by '8'. x = 6.5 Simplifying x = 6.5
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