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Simplifying 8x + 3 = 6 + -1(5x + -4) Reorder the terms: 3 + 8x = 6 + -1(5x + -4) Reorder the terms: 3 + 8x = 6 + -1(-4 + 5x) 3 + 8x = 6 + (-4 * -1 + 5x * -1) 3 + 8x = 6 + (4 + -5x) Combine like terms: 6 + 4 = 10 3 + 8x = 10 + -5x Solving 3 + 8x = 10 + -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 = 10 + -5x + 5x Combine like terms: 8x + 5x = 13x 3 + 13x = 10 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 13x = 10 + 0 3 + 13x = 10 Add '-3' to each side of the equation. 3 + -3 + 13x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = 10 + -3 13x = 10 + -3 Combine like terms: 10 + -3 = 7 13x = 7 Divide each side by '13'. x = 0.5384615385 Simplifying x = 0.5384615385
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