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Simplifying 4(x + 2) + -2x = 4x + -2 Reorder the terms: 4(2 + x) + -2x = 4x + -2 (2 * 4 + x * 4) + -2x = 4x + -2 (8 + 4x) + -2x = 4x + -2 Combine like terms: 4x + -2x = 2x 8 + 2x = 4x + -2 Reorder the terms: 8 + 2x = -2 + 4x Solving 8 + 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. 8 + 2x + -4x = -2 + 4x + -4x Combine like terms: 2x + -4x = -2x 8 + -2x = -2 + 4x + -4x Combine like terms: 4x + -4x = 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 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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