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Simplifying 2(x + 1) + -1(x + -4) = 2 + -3 + 4 Reorder the terms: 2(1 + x) + -1(x + -4) = 2 + -3 + 4 (1 * 2 + x * 2) + -1(x + -4) = 2 + -3 + 4 (2 + 2x) + -1(x + -4) = 2 + -3 + 4 Reorder the terms: 2 + 2x + -1(-4 + x) = 2 + -3 + 4 2 + 2x + (-4 * -1 + x * -1) = 2 + -3 + 4 2 + 2x + (4 + -1x) = 2 + -3 + 4 Reorder the terms: 2 + 4 + 2x + -1x = 2 + -3 + 4 Combine like terms: 2 + 4 = 6 6 + 2x + -1x = 2 + -3 + 4 Combine like terms: 2x + -1x = 1x 6 + 1x = 2 + -3 + 4 Combine like terms: 2 + -3 = -1 6 + 1x = -1 + 4 Combine like terms: -1 + 4 = 3 6 + 1x = 3 Solving 6 + 1x = 3 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 + 1x = 3 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 3 + -6 1x = 3 + -6 Combine like terms: 3 + -6 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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