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Simplifying 6(x + -4) = 2(x + 5) Reorder the terms: 6(-4 + x) = 2(x + 5) (-4 * 6 + x * 6) = 2(x + 5) (-24 + 6x) = 2(x + 5) Reorder the terms: -24 + 6x = 2(5 + x) -24 + 6x = (5 * 2 + x * 2) -24 + 6x = (10 + 2x) Solving -24 + 6x = 10 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -24 + 6x + -2x = 10 + 2x + -2x Combine like terms: 6x + -2x = 4x -24 + 4x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = 10 + 0 -24 + 4x = 10 Add '24' to each side of the equation. -24 + 24 + 4x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 10 + 24 4x = 10 + 24 Combine like terms: 10 + 24 = 34 4x = 34 Divide each side by '4'. x = 8.5 Simplifying x = 8.5
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