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Simplifying 2(x + -5) + 3(2x + -8) = 0 Reorder the terms: 2(-5 + x) + 3(2x + -8) = 0 (-5 * 2 + x * 2) + 3(2x + -8) = 0 (-10 + 2x) + 3(2x + -8) = 0 Reorder the terms: -10 + 2x + 3(-8 + 2x) = 0 -10 + 2x + (-8 * 3 + 2x * 3) = 0 -10 + 2x + (-24 + 6x) = 0 Reorder the terms: -10 + -24 + 2x + 6x = 0 Combine like terms: -10 + -24 = -34 -34 + 2x + 6x = 0 Combine like terms: 2x + 6x = 8x -34 + 8x = 0 Solving -34 + 8x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 8x = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 8x = 0 + 34 8x = 0 + 34 Combine like terms: 0 + 34 = 34 8x = 34 Divide each side by '8'. x = 4.25 Simplifying x = 4.25
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