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Simplifying 9x + 2 = 6 + -1(4x + -2) Reorder the terms: 2 + 9x = 6 + -1(4x + -2) Reorder the terms: 2 + 9x = 6 + -1(-2 + 4x) 2 + 9x = 6 + (-2 * -1 + 4x * -1) 2 + 9x = 6 + (2 + -4x) Combine like terms: 6 + 2 = 8 2 + 9x = 8 + -4x Solving 2 + 9x = 8 + -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. 2 + 9x + 4x = 8 + -4x + 4x Combine like terms: 9x + 4x = 13x 2 + 13x = 8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 13x = 8 + 0 2 + 13x = 8 Add '-2' to each side of the equation. 2 + -2 + 13x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 8 + -2 13x = 8 + -2 Combine like terms: 8 + -2 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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