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Simplifying 4(x + -2) + -1(2x + 1) = 12 Reorder the terms: 4(-2 + x) + -1(2x + 1) = 12 (-2 * 4 + x * 4) + -1(2x + 1) = 12 (-8 + 4x) + -1(2x + 1) = 12 Reorder the terms: -8 + 4x + -1(1 + 2x) = 12 -8 + 4x + (1 * -1 + 2x * -1) = 12 -8 + 4x + (-1 + -2x) = 12 Reorder the terms: -8 + -1 + 4x + -2x = 12 Combine like terms: -8 + -1 = -9 -9 + 4x + -2x = 12 Combine like terms: 4x + -2x = 2x -9 + 2x = 12 Solving -9 + 2x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 2x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = 12 + 9 2x = 12 + 9 Combine like terms: 12 + 9 = 21 2x = 21 Divide each side by '2'. x = 10.5 Simplifying x = 10.5
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