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Simplifying 5(-4 + x) + 8 = 2(-6 + 2x) (-4 * 5 + x * 5) + 8 = 2(-6 + 2x) (-20 + 5x) + 8 = 2(-6 + 2x) Reorder the terms: -20 + 8 + 5x = 2(-6 + 2x) Combine like terms: -20 + 8 = -12 -12 + 5x = 2(-6 + 2x) -12 + 5x = (-6 * 2 + 2x * 2) -12 + 5x = (-12 + 4x) Add '12' to each side of the equation. -12 + 12 + 5x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 0 + 5x = -12 + 12 + 4x 5x = -12 + 12 + 4x Combine like terms: -12 + 12 = 0 5x = 0 + 4x 5x = 4x Solving 5x = 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. 5x + -4x = 4x + -4x Combine like terms: 5x + -4x = 1x 1x = 4x + -4x Combine like terms: 4x + -4x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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