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Simplifying 2(2x + 2) = 4(x + 2) + 6x Reorder the terms: 2(2 + 2x) = 4(x + 2) + 6x (2 * 2 + 2x * 2) = 4(x + 2) + 6x (4 + 4x) = 4(x + 2) + 6x Reorder the terms: 4 + 4x = 4(2 + x) + 6x 4 + 4x = (2 * 4 + x * 4) + 6x 4 + 4x = (8 + 4x) + 6x Combine like terms: 4x + 6x = 10x 4 + 4x = 8 + 10x Solving 4 + 4x = 8 + 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. 4 + 4x + -10x = 8 + 10x + -10x Combine like terms: 4x + -10x = -6x 4 + -6x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 4 + -6x = 8 + 0 4 + -6x = 8 Add '-4' to each side of the equation. 4 + -4 + -6x = 8 + -4 Combine like terms: 4 + -4 = 0 0 + -6x = 8 + -4 -6x = 8 + -4 Combine like terms: 8 + -4 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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