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Simplifying 4x + 9 = 9 + -1(2x + -9) Reorder the terms: 9 + 4x = 9 + -1(2x + -9) Reorder the terms: 9 + 4x = 9 + -1(-9 + 2x) 9 + 4x = 9 + (-9 * -1 + 2x * -1) 9 + 4x = 9 + (9 + -2x) Combine like terms: 9 + 9 = 18 9 + 4x = 18 + -2x Solving 9 + 4x = 18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 4x + 2x = 18 + -2x + 2x Combine like terms: 4x + 2x = 6x 9 + 6x = 18 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 6x = 18 + 0 9 + 6x = 18 Add '-9' to each side of the equation. 9 + -9 + 6x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 18 + -9 6x = 18 + -9 Combine like terms: 18 + -9 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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