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Simplifying 8 + 3x = 5(-1x + 9) Reorder the terms: 8 + 3x = 5(9 + -1x) 8 + 3x = (9 * 5 + -1x * 5) 8 + 3x = (45 + -5x) Solving 8 + 3x = 45 + -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 = 45 + -5x + 5x Combine like terms: 3x + 5x = 8x 8 + 8x = 45 + -5x + 5x Combine like terms: -5x + 5x = 0 8 + 8x = 45 + 0 8 + 8x = 45 Add '-8' to each side of the equation. 8 + -8 + 8x = 45 + -8 Combine like terms: 8 + -8 = 0 0 + 8x = 45 + -8 8x = 45 + -8 Combine like terms: 45 + -8 = 37 8x = 37 Divide each side by '8'. x = 4.625 Simplifying x = 4.625
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