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Simplifying -6 = 6x + 6(x + -5) Reorder the terms: -6 = 6x + 6(-5 + x) -6 = 6x + (-5 * 6 + x * 6) -6 = 6x + (-30 + 6x) Reorder the terms: -6 = -30 + 6x + 6x Combine like terms: 6x + 6x = 12x -6 = -30 + 12x Solving -6 = -30 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + -12x = -30 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -12x = -30 + 0 -6 + -12x = -30 Add '6' to each side of the equation. -6 + 6 + -12x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -30 + 6 -12x = -30 + 6 Combine like terms: -30 + 6 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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