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Simplifying 4(x + -2) + -2(x + 1) = 4 Reorder the terms: 4(-2 + x) + -2(x + 1) = 4 (-2 * 4 + x * 4) + -2(x + 1) = 4 (-8 + 4x) + -2(x + 1) = 4 Reorder the terms: -8 + 4x + -2(1 + x) = 4 -8 + 4x + (1 * -2 + x * -2) = 4 -8 + 4x + (-2 + -2x) = 4 Reorder the terms: -8 + -2 + 4x + -2x = 4 Combine like terms: -8 + -2 = -10 -10 + 4x + -2x = 4 Combine like terms: 4x + -2x = 2x -10 + 2x = 4 Solving -10 + 2x = 4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2x = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 4 + 10 2x = 4 + 10 Combine like terms: 4 + 10 = 14 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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