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Simplifying 4(x + 4) + -1(x + -1) = -1 Reorder the terms: 4(4 + x) + -1(x + -1) = -1 (4 * 4 + x * 4) + -1(x + -1) = -1 (16 + 4x) + -1(x + -1) = -1 Reorder the terms: 16 + 4x + -1(-1 + x) = -1 16 + 4x + (-1 * -1 + x * -1) = -1 16 + 4x + (1 + -1x) = -1 Reorder the terms: 16 + 1 + 4x + -1x = -1 Combine like terms: 16 + 1 = 17 17 + 4x + -1x = -1 Combine like terms: 4x + -1x = 3x 17 + 3x = -1 Solving 17 + 3x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 3x = -1 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = -1 + -17 3x = -1 + -17 Combine like terms: -1 + -17 = -18 3x = -18 Divide each side by '3'. x = -6 Simplifying x = -6
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