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Simplifying 4(x + 1) + -1(3x + 3) = -4 Reorder the terms: 4(1 + x) + -1(3x + 3) = -4 (1 * 4 + x * 4) + -1(3x + 3) = -4 (4 + 4x) + -1(3x + 3) = -4 Reorder the terms: 4 + 4x + -1(3 + 3x) = -4 4 + 4x + (3 * -1 + 3x * -1) = -4 4 + 4x + (-3 + -3x) = -4 Reorder the terms: 4 + -3 + 4x + -3x = -4 Combine like terms: 4 + -3 = 1 1 + 4x + -3x = -4 Combine like terms: 4x + -3x = 1x 1 + 1x = -4 Solving 1 + 1x = -4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 1x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -4 + -1 1x = -4 + -1 Combine like terms: -4 + -1 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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