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Simplifying 2 + -1(x + 1) = 3 + -5(x + 3) + 8 Reorder the terms: 2 + -1(1 + x) = 3 + -5(x + 3) + 8 2 + (1 * -1 + x * -1) = 3 + -5(x + 3) + 8 2 + (-1 + -1x) = 3 + -5(x + 3) + 8 Combine like terms: 2 + -1 = 1 1 + -1x = 3 + -5(x + 3) + 8 Reorder the terms: 1 + -1x = 3 + -5(3 + x) + 8 1 + -1x = 3 + (3 * -5 + x * -5) + 8 1 + -1x = 3 + (-15 + -5x) + 8 Reorder the terms: 1 + -1x = 3 + -15 + 8 + -5x Combine like terms: 3 + -15 = -12 1 + -1x = -12 + 8 + -5x Combine like terms: -12 + 8 = -4 1 + -1x = -4 + -5x Solving 1 + -1x = -4 + -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. 1 + -1x + 5x = -4 + -5x + 5x Combine like terms: -1x + 5x = 4x 1 + 4x = -4 + -5x + 5x Combine like terms: -5x + 5x = 0 1 + 4x = -4 + 0 1 + 4x = -4 Add '-1' to each side of the equation. 1 + -1 + 4x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = -4 + -1 4x = -4 + -1 Combine like terms: -4 + -1 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25
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