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Simplifying 9x + 4 = 8 + -1(4x + -2) Reorder the terms: 4 + 9x = 8 + -1(4x + -2) Reorder the terms: 4 + 9x = 8 + -1(-2 + 4x) 4 + 9x = 8 + (-2 * -1 + 4x * -1) 4 + 9x = 8 + (2 + -4x) Combine like terms: 8 + 2 = 10 4 + 9x = 10 + -4x Solving 4 + 9x = 10 + -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. 4 + 9x + 4x = 10 + -4x + 4x Combine like terms: 9x + 4x = 13x 4 + 13x = 10 + -4x + 4x Combine like terms: -4x + 4x = 0 4 + 13x = 10 + 0 4 + 13x = 10 Add '-4' to each side of the equation. 4 + -4 + 13x = 10 + -4 Combine like terms: 4 + -4 = 0 0 + 13x = 10 + -4 13x = 10 + -4 Combine like terms: 10 + -4 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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