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Simplifying 6(x + -4) + -1(2x + 7) = 0 Reorder the terms: 6(-4 + x) + -1(2x + 7) = 0 (-4 * 6 + x * 6) + -1(2x + 7) = 0 (-24 + 6x) + -1(2x + 7) = 0 Reorder the terms: -24 + 6x + -1(7 + 2x) = 0 -24 + 6x + (7 * -1 + 2x * -1) = 0 -24 + 6x + (-7 + -2x) = 0 Reorder the terms: -24 + -7 + 6x + -2x = 0 Combine like terms: -24 + -7 = -31 -31 + 6x + -2x = 0 Combine like terms: 6x + -2x = 4x -31 + 4x = 0 Solving -31 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 4x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + 4x = 0 + 31 4x = 0 + 31 Combine like terms: 0 + 31 = 31 4x = 31 Divide each side by '4'. x = 7.75 Simplifying x = 7.75
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