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Simplifying 4(x + 6) + 2(-1x + 2) = 4 Reorder the terms: 4(6 + x) + 2(-1x + 2) = 4 (6 * 4 + x * 4) + 2(-1x + 2) = 4 (24 + 4x) + 2(-1x + 2) = 4 Reorder the terms: 24 + 4x + 2(2 + -1x) = 4 24 + 4x + (2 * 2 + -1x * 2) = 4 24 + 4x + (4 + -2x) = 4 Reorder the terms: 24 + 4 + 4x + -2x = 4 Combine like terms: 24 + 4 = 28 28 + 4x + -2x = 4 Combine like terms: 4x + -2x = 2x 28 + 2x = 4 Solving 28 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + 2x = 4 + -28 Combine like terms: 28 + -28 = 0 0 + 2x = 4 + -28 2x = 4 + -28 Combine like terms: 4 + -28 = -24 2x = -24 Divide each side by '2'. x = -12 Simplifying x = -12
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