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Simplifying 5x + 8 = 9 + -1(4x + -9) Reorder the terms: 8 + 5x = 9 + -1(4x + -9) Reorder the terms: 8 + 5x = 9 + -1(-9 + 4x) 8 + 5x = 9 + (-9 * -1 + 4x * -1) 8 + 5x = 9 + (9 + -4x) Combine like terms: 9 + 9 = 18 8 + 5x = 18 + -4x Solving 8 + 5x = 18 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 8 + 5x + 4x = 18 + -4x + 4x Combine like terms: 5x + 4x = 9x 8 + 9x = 18 + -4x + 4x Combine like terms: -4x + 4x = 0 8 + 9x = 18 + 0 8 + 9x = 18 Add '-8' to each side of the equation. 8 + -8 + 9x = 18 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 18 + -8 9x = 18 + -8 Combine like terms: 18 + -8 = 10 9x = 10 Divide each side by '9'. x = 1.111111111 Simplifying x = 1.111111111
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