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Simplifying 4(x + -6) = 6 + 6(x + 2) + -8 Reorder the terms: 4(-6 + x) = 6 + 6(x + 2) + -8 (-6 * 4 + x * 4) = 6 + 6(x + 2) + -8 (-24 + 4x) = 6 + 6(x + 2) + -8 Reorder the terms: -24 + 4x = 6 + 6(2 + x) + -8 -24 + 4x = 6 + (2 * 6 + x * 6) + -8 -24 + 4x = 6 + (12 + 6x) + -8 Reorder the terms: -24 + 4x = 6 + 12 + -8 + 6x Combine like terms: 6 + 12 = 18 -24 + 4x = 18 + -8 + 6x Combine like terms: 18 + -8 = 10 -24 + 4x = 10 + 6x Solving -24 + 4x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -24 + 4x + -6x = 10 + 6x + -6x Combine like terms: 4x + -6x = -2x -24 + -2x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 -24 + -2x = 10 + 0 -24 + -2x = 10 Add '24' to each side of the equation. -24 + 24 + -2x = 10 + 24 Combine like terms: -24 + 24 = 0 0 + -2x = 10 + 24 -2x = 10 + 24 Combine like terms: 10 + 24 = 34 -2x = 34 Divide each side by '-2'. x = -17 Simplifying x = -17
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