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Simplifying 3x + 8(x + -2) = 5(x + -9) Reorder the terms: 3x + 8(-2 + x) = 5(x + -9) 3x + (-2 * 8 + x * 8) = 5(x + -9) 3x + (-16 + 8x) = 5(x + -9) Reorder the terms: -16 + 3x + 8x = 5(x + -9) Combine like terms: 3x + 8x = 11x -16 + 11x = 5(x + -9) Reorder the terms: -16 + 11x = 5(-9 + x) -16 + 11x = (-9 * 5 + x * 5) -16 + 11x = (-45 + 5x) Solving -16 + 11x = -45 + 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. -16 + 11x + -5x = -45 + 5x + -5x Combine like terms: 11x + -5x = 6x -16 + 6x = -45 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 6x = -45 + 0 -16 + 6x = -45 Add '16' to each side of the equation. -16 + 16 + 6x = -45 + 16 Combine like terms: -16 + 16 = 0 0 + 6x = -45 + 16 6x = -45 + 16 Combine like terms: -45 + 16 = -29 6x = -29 Divide each side by '6'. x = -4.833333333 Simplifying x = -4.833333333
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