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Simplifying -2x + 2 = -4(x + -3) Reorder the terms: 2 + -2x = -4(x + -3) Reorder the terms: 2 + -2x = -4(-3 + x) 2 + -2x = (-3 * -4 + x * -4) 2 + -2x = (12 + -4x) Solving 2 + -2x = 12 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -2x + 4x = 12 + -4x + 4x Combine like terms: -2x + 4x = 2x 2 + 2x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 2x = 12 + 0 2 + 2x = 12 Add '-2' to each side of the equation. 2 + -2 + 2x = 12 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = 12 + -2 2x = 12 + -2 Combine like terms: 12 + -2 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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