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Simplifying 8x = 3(x + 3) + -2(x + -5) Reorder the terms: 8x = 3(3 + x) + -2(x + -5) 8x = (3 * 3 + x * 3) + -2(x + -5) 8x = (9 + 3x) + -2(x + -5) Reorder the terms: 8x = 9 + 3x + -2(-5 + x) 8x = 9 + 3x + (-5 * -2 + x * -2) 8x = 9 + 3x + (10 + -2x) Reorder the terms: 8x = 9 + 10 + 3x + -2x Combine like terms: 9 + 10 = 19 8x = 19 + 3x + -2x Combine like terms: 3x + -2x = 1x 8x = 19 + 1x Solving 8x = 19 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 8x + -1x = 19 + 1x + -1x Combine like terms: 8x + -1x = 7x 7x = 19 + 1x + -1x Combine like terms: 1x + -1x = 0 7x = 19 + 0 7x = 19 Divide each side by '7'. x = 2.714285714 Simplifying x = 2.714285714
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