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Simplifying 9(8x + 10) = -38(x + -5) Reorder the terms: 9(10 + 8x) = -38(x + -5) (10 * 9 + 8x * 9) = -38(x + -5) (90 + 72x) = -38(x + -5) Reorder the terms: 90 + 72x = -38(-5 + x) 90 + 72x = (-5 * -38 + x * -38) 90 + 72x = (190 + -38x) Solving 90 + 72x = 190 + -38x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '38x' to each side of the equation. 90 + 72x + 38x = 190 + -38x + 38x Combine like terms: 72x + 38x = 110x 90 + 110x = 190 + -38x + 38x Combine like terms: -38x + 38x = 0 90 + 110x = 190 + 0 90 + 110x = 190 Add '-90' to each side of the equation. 90 + -90 + 110x = 190 + -90 Combine like terms: 90 + -90 = 0 0 + 110x = 190 + -90 110x = 190 + -90 Combine like terms: 190 + -90 = 100 110x = 100 Divide each side by '110'. x = 0.9090909091 Simplifying x = 0.9090909091
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