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Simplifying -5(x + -1) + -2 = 4(x + 1) Reorder the terms: -5(-1 + x) + -2 = 4(x + 1) (-1 * -5 + x * -5) + -2 = 4(x + 1) (5 + -5x) + -2 = 4(x + 1) Reorder the terms: 5 + -2 + -5x = 4(x + 1) Combine like terms: 5 + -2 = 3 3 + -5x = 4(x + 1) Reorder the terms: 3 + -5x = 4(1 + x) 3 + -5x = (1 * 4 + x * 4) 3 + -5x = (4 + 4x) Solving 3 + -5x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + -5x + -4x = 4 + 4x + -4x Combine like terms: -5x + -4x = -9x 3 + -9x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -9x = 4 + 0 3 + -9x = 4 Add '-3' to each side of the equation. 3 + -3 + -9x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + -9x = 4 + -3 -9x = 4 + -3 Combine like terms: 4 + -3 = 1 -9x = 1 Divide each side by '-9'. x = -0.1111111111 Simplifying x = -0.1111111111
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