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Simplifying 5x + 9 = 8 + -1(5x + -4) Reorder the terms: 9 + 5x = 8 + -1(5x + -4) Reorder the terms: 9 + 5x = 8 + -1(-4 + 5x) 9 + 5x = 8 + (-4 * -1 + 5x * -1) 9 + 5x = 8 + (4 + -5x) Combine like terms: 8 + 4 = 12 9 + 5x = 12 + -5x Solving 9 + 5x = 12 + -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. 9 + 5x + 5x = 12 + -5x + 5x Combine like terms: 5x + 5x = 10x 9 + 10x = 12 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 10x = 12 + 0 9 + 10x = 12 Add '-9' to each side of the equation. 9 + -9 + 10x = 12 + -9 Combine like terms: 9 + -9 = 0 0 + 10x = 12 + -9 10x = 12 + -9 Combine like terms: 12 + -9 = 3 10x = 3 Divide each side by '10'. x = 0.3 Simplifying x = 0.3
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