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Simplifying 5(x + 1) + -1(4x + 4) = -9 Reorder the terms: 5(1 + x) + -1(4x + 4) = -9 (1 * 5 + x * 5) + -1(4x + 4) = -9 (5 + 5x) + -1(4x + 4) = -9 Reorder the terms: 5 + 5x + -1(4 + 4x) = -9 5 + 5x + (4 * -1 + 4x * -1) = -9 5 + 5x + (-4 + -4x) = -9 Reorder the terms: 5 + -4 + 5x + -4x = -9 Combine like terms: 5 + -4 = 1 1 + 5x + -4x = -9 Combine like terms: 5x + -4x = 1x 1 + 1x = -9 Solving 1 + 1x = -9 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 = -9 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -9 + -1 1x = -9 + -1 Combine like terms: -9 + -1 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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