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Simplifying 2(x + 1) + -4(x + -1) = 10 Reorder the terms: 2(1 + x) + -4(x + -1) = 10 (1 * 2 + x * 2) + -4(x + -1) = 10 (2 + 2x) + -4(x + -1) = 10 Reorder the terms: 2 + 2x + -4(-1 + x) = 10 2 + 2x + (-1 * -4 + x * -4) = 10 2 + 2x + (4 + -4x) = 10 Reorder the terms: 2 + 4 + 2x + -4x = 10 Combine like terms: 2 + 4 = 6 6 + 2x + -4x = 10 Combine like terms: 2x + -4x = -2x 6 + -2x = 10 Solving 6 + -2x = 10 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -2x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 10 + -6 -2x = 10 + -6 Combine like terms: 10 + -6 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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