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Simplifying -4x + 2 = -2(x + 8) Reorder the terms: 2 + -4x = -2(x + 8) Reorder the terms: 2 + -4x = -2(8 + x) 2 + -4x = (8 * -2 + x * -2) 2 + -4x = (-16 + -2x) Solving 2 + -4x = -16 + -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. 2 + -4x + 2x = -16 + -2x + 2x Combine like terms: -4x + 2x = -2x 2 + -2x = -16 + -2x + 2x Combine like terms: -2x + 2x = 0 2 + -2x = -16 + 0 2 + -2x = -16 Add '-2' to each side of the equation. 2 + -2 + -2x = -16 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = -16 + -2 -2x = -16 + -2 Combine like terms: -16 + -2 = -18 -2x = -18 Divide each side by '-2'. x = 9 Simplifying x = 9
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