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Simplifying 9(3x + 5) = -16(x + -2) Reorder the terms: 9(5 + 3x) = -16(x + -2) (5 * 9 + 3x * 9) = -16(x + -2) (45 + 27x) = -16(x + -2) Reorder the terms: 45 + 27x = -16(-2 + x) 45 + 27x = (-2 * -16 + x * -16) 45 + 27x = (32 + -16x) Solving 45 + 27x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 45 + 27x + 16x = 32 + -16x + 16x Combine like terms: 27x + 16x = 43x 45 + 43x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 45 + 43x = 32 + 0 45 + 43x = 32 Add '-45' to each side of the equation. 45 + -45 + 43x = 32 + -45 Combine like terms: 45 + -45 = 0 0 + 43x = 32 + -45 43x = 32 + -45 Combine like terms: 32 + -45 = -13 43x = -13 Divide each side by '43'. x = -0.3023255814 Simplifying x = -0.3023255814
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