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Simplifying 3 + -8x = 5(x + 1) + -2 Reorder the terms: 3 + -8x = 5(1 + x) + -2 3 + -8x = (1 * 5 + x * 5) + -2 3 + -8x = (5 + 5x) + -2 Reorder the terms: 3 + -8x = 5 + -2 + 5x Combine like terms: 5 + -2 = 3 3 + -8x = 3 + 5x Add '-3' to each side of the equation. 3 + -3 + -8x = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 0 + -8x = 3 + -3 + 5x -8x = 3 + -3 + 5x Combine like terms: 3 + -3 = 0 -8x = 0 + 5x -8x = 5x Solving -8x = 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. -8x + -5x = 5x + -5x Combine like terms: -8x + -5x = -13x -13x = 5x + -5x Combine like terms: 5x + -5x = 0 -13x = 0 Divide each side by '-13'. x = 0 Simplifying x = 0
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