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Simplifying 8 + -1x = 2x + -1(5x + 3) Reorder the terms: 8 + -1x = 2x + -1(3 + 5x) 8 + -1x = 2x + (3 * -1 + 5x * -1) 8 + -1x = 2x + (-3 + -5x) Reorder the terms: 8 + -1x = -3 + 2x + -5x Combine like terms: 2x + -5x = -3x 8 + -1x = -3 + -3x Solving 8 + -1x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 8 + -1x + 3x = -3 + -3x + 3x Combine like terms: -1x + 3x = 2x 8 + 2x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 2x = -3 + 0 8 + 2x = -3 Add '-8' to each side of the equation. 8 + -8 + 2x = -3 + -8 Combine like terms: 8 + -8 = 0 0 + 2x = -3 + -8 2x = -3 + -8 Combine like terms: -3 + -8 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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