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Simplifying 9(4x + 5) = 8(x + 3) + -5 Reorder the terms: 9(5 + 4x) = 8(x + 3) + -5 (5 * 9 + 4x * 9) = 8(x + 3) + -5 (45 + 36x) = 8(x + 3) + -5 Reorder the terms: 45 + 36x = 8(3 + x) + -5 45 + 36x = (3 * 8 + x * 8) + -5 45 + 36x = (24 + 8x) + -5 Reorder the terms: 45 + 36x = 24 + -5 + 8x Combine like terms: 24 + -5 = 19 45 + 36x = 19 + 8x Solving 45 + 36x = 19 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 45 + 36x + -8x = 19 + 8x + -8x Combine like terms: 36x + -8x = 28x 45 + 28x = 19 + 8x + -8x Combine like terms: 8x + -8x = 0 45 + 28x = 19 + 0 45 + 28x = 19 Add '-45' to each side of the equation. 45 + -45 + 28x = 19 + -45 Combine like terms: 45 + -45 = 0 0 + 28x = 19 + -45 28x = 19 + -45 Combine like terms: 19 + -45 = -26 28x = -26 Divide each side by '28'. x = -0.9285714286 Simplifying x = -0.9285714286
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