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Simplifying -6(x + -5) = -2x + 2 Reorder the terms: -6(-5 + x) = -2x + 2 (-5 * -6 + x * -6) = -2x + 2 (30 + -6x) = -2x + 2 Reorder the terms: 30 + -6x = 2 + -2x Solving 30 + -6x = 2 + -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. 30 + -6x + 2x = 2 + -2x + 2x Combine like terms: -6x + 2x = -4x 30 + -4x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 30 + -4x = 2 + 0 30 + -4x = 2 Add '-30' to each side of the equation. 30 + -30 + -4x = 2 + -30 Combine like terms: 30 + -30 = 0 0 + -4x = 2 + -30 -4x = 2 + -30 Combine like terms: 2 + -30 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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