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