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Simplifying 4(x + 2) = (x + x + 4) + -2 Reorder the terms: 4(2 + x) = (x + x + 4) + -2 (2 * 4 + x * 4) = (x + x + 4) + -2 (8 + 4x) = (x + x + 4) + -2 Reorder the terms: 8 + 4x = (4 + x + x) + -2 Combine like terms: x + x = 2x 8 + 4x = (4 + 2x) + -2 Remove parenthesis around (4 + 2x) 8 + 4x = 4 + 2x + -2 Reorder the terms: 8 + 4x = 4 + -2 + 2x Combine like terms: 4 + -2 = 2 8 + 4x = 2 + 2x Solving 8 + 4x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 8 + 4x + -2x = 2 + 2x + -2x Combine like terms: 4x + -2x = 2x 8 + 2x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 2x = 2 + 0 8 + 2x = 2 Add '-8' to each side of the equation. 8 + -8 + 2x = 2 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = 2 + -8 2x = 2 + -8 Combine like terms: 2 + -8 = -6 2x = -6 Divide each side by '2'. x = -3 Simplifying x = -3
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