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Simplifying 4 + -2(x + 4) + 1 = 1 Reorder the terms: 4 + -2(4 + x) + 1 = 1 4 + (4 * -2 + x * -2) + 1 = 1 4 + (-8 + -2x) + 1 = 1 Reorder the terms: 4 + -8 + 1 + -2x = 1 Combine like terms: 4 + -8 = -4 -4 + 1 + -2x = 1 Combine like terms: -4 + 1 = -3 -3 + -2x = 1 Solving -3 + -2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2x = 1 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = 1 + 3 -2x = 1 + 3 Combine like terms: 1 + 3 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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