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Simplifying 8 + 2x = 4 + 5(x + -1) Reorder the terms: 8 + 2x = 4 + 5(-1 + x) 8 + 2x = 4 + (-1 * 5 + x * 5) 8 + 2x = 4 + (-5 + 5x) Combine like terms: 4 + -5 = -1 8 + 2x = -1 + 5x Solving 8 + 2x = -1 + 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. 8 + 2x + -5x = -1 + 5x + -5x Combine like terms: 2x + -5x = -3x 8 + -3x = -1 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -3x = -1 + 0 8 + -3x = -1 Add '-8' to each side of the equation. 8 + -8 + -3x = -1 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = -1 + -8 -3x = -1 + -8 Combine like terms: -1 + -8 = -9 -3x = -9 Divide each side by '-3'. x = 3 Simplifying x = 3
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