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Simplifying 2(2x + 4) = 2(5x + -2) Reorder the terms: 2(4 + 2x) = 2(5x + -2) (4 * 2 + 2x * 2) = 2(5x + -2) (8 + 4x) = 2(5x + -2) Reorder the terms: 8 + 4x = 2(-2 + 5x) 8 + 4x = (-2 * 2 + 5x * 2) 8 + 4x = (-4 + 10x) Solving 8 + 4x = -4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8 + 4x + -10x = -4 + 10x + -10x Combine like terms: 4x + -10x = -6x 8 + -6x = -4 + 10x + -10x Combine like terms: 10x + -10x = 0 8 + -6x = -4 + 0 8 + -6x = -4 Add '-8' to each side of the equation. 8 + -8 + -6x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -4 + -8 -6x = -4 + -8 Combine like terms: -4 + -8 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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