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Simplifying -5x + 8 = -2(4x + 2) Reorder the terms: 8 + -5x = -2(4x + 2) Reorder the terms: 8 + -5x = -2(2 + 4x) 8 + -5x = (2 * -2 + 4x * -2) 8 + -5x = (-4 + -8x) Solving 8 + -5x = -4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 8 + -5x + 8x = -4 + -8x + 8x Combine like terms: -5x + 8x = 3x 8 + 3x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 8 + 3x = -4 + 0 8 + 3x = -4 Add '-8' to each side of the equation. 8 + -8 + 3x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + 3x = -4 + -8 3x = -4 + -8 Combine like terms: -4 + -8 = -12 3x = -12 Divide each side by '3'. x = -4 Simplifying x = -4
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