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