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Simplifying 4x + 4 + -1(x + 1) = 5(-2 + -1x) + 5 Reorder the terms: 4x + 4 + -1(1 + x) = 5(-2 + -1x) + 5 4x + 4 + (1 * -1 + x * -1) = 5(-2 + -1x) + 5 4x + 4 + (-1 + -1x) = 5(-2 + -1x) + 5 Reorder the terms: 4 + -1 + 4x + -1x = 5(-2 + -1x) + 5 Combine like terms: 4 + -1 = 3 3 + 4x + -1x = 5(-2 + -1x) + 5 Combine like terms: 4x + -1x = 3x 3 + 3x = 5(-2 + -1x) + 5 3 + 3x = (-2 * 5 + -1x * 5) + 5 3 + 3x = (-10 + -5x) + 5 Reorder the terms: 3 + 3x = -10 + 5 + -5x Combine like terms: -10 + 5 = -5 3 + 3x = -5 + -5x Solving 3 + 3x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 3x + 5x = -5 + -5x + 5x Combine like terms: 3x + 5x = 8x 3 + 8x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 8x = -5 + 0 3 + 8x = -5 Add '-3' to each side of the equation. 3 + -3 + 8x = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 8x = -5 + -3 8x = -5 + -3 Combine like terms: -5 + -3 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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