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Simplifying 4x + 2 = 9 + -1(9x + -9) Reorder the terms: 2 + 4x = 9 + -1(9x + -9) Reorder the terms: 2 + 4x = 9 + -1(-9 + 9x) 2 + 4x = 9 + (-9 * -1 + 9x * -1) 2 + 4x = 9 + (9 + -9x) Combine like terms: 9 + 9 = 18 2 + 4x = 18 + -9x Solving 2 + 4x = 18 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 2 + 4x + 9x = 18 + -9x + 9x Combine like terms: 4x + 9x = 13x 2 + 13x = 18 + -9x + 9x Combine like terms: -9x + 9x = 0 2 + 13x = 18 + 0 2 + 13x = 18 Add '-2' to each side of the equation. 2 + -2 + 13x = 18 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 18 + -2 13x = 18 + -2 Combine like terms: 18 + -2 = 16 13x = 16 Divide each side by '13'. x = 1.230769231 Simplifying x = 1.230769231
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