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Simplifying 8x + 3 = 7 + -1(5x + -2) Reorder the terms: 3 + 8x = 7 + -1(5x + -2) Reorder the terms: 3 + 8x = 7 + -1(-2 + 5x) 3 + 8x = 7 + (-2 * -1 + 5x * -1) 3 + 8x = 7 + (2 + -5x) Combine like terms: 7 + 2 = 9 3 + 8x = 9 + -5x Solving 3 + 8x = 9 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + 8x + 5x = 9 + -5x + 5x Combine like terms: 8x + 5x = 13x 3 + 13x = 9 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 13x = 9 + 0 3 + 13x = 9 Add '-3' to each side of the equation. 3 + -3 + 13x = 9 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 9 + -3 13x = 9 + -3 Combine like terms: 9 + -3 = 6 13x = 6 Divide each side by '13'. x = 0.4615384615 Simplifying x = 0.4615384615
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