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Simplifying 6(2x + -8) = 6(x + -4) Reorder the terms: 6(-8 + 2x) = 6(x + -4) (-8 * 6 + 2x * 6) = 6(x + -4) (-48 + 12x) = 6(x + -4) Reorder the terms: -48 + 12x = 6(-4 + x) -48 + 12x = (-4 * 6 + x * 6) -48 + 12x = (-24 + 6x) Solving -48 + 12x = -24 + 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. -48 + 12x + -6x = -24 + 6x + -6x Combine like terms: 12x + -6x = 6x -48 + 6x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 -48 + 6x = -24 + 0 -48 + 6x = -24 Add '48' to each side of the equation. -48 + 48 + 6x = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 6x = -24 + 48 6x = -24 + 48 Combine like terms: -24 + 48 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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