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Simplifying 8 + -2(3x + 1) = 2x + 3(x + -9) Reorder the terms: 8 + -2(1 + 3x) = 2x + 3(x + -9) 8 + (1 * -2 + 3x * -2) = 2x + 3(x + -9) 8 + (-2 + -6x) = 2x + 3(x + -9) Combine like terms: 8 + -2 = 6 6 + -6x = 2x + 3(x + -9) Reorder the terms: 6 + -6x = 2x + 3(-9 + x) 6 + -6x = 2x + (-9 * 3 + x * 3) 6 + -6x = 2x + (-27 + 3x) Reorder the terms: 6 + -6x = -27 + 2x + 3x Combine like terms: 2x + 3x = 5x 6 + -6x = -27 + 5x Solving 6 + -6x = -27 + 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. 6 + -6x + -5x = -27 + 5x + -5x Combine like terms: -6x + -5x = -11x 6 + -11x = -27 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + -11x = -27 + 0 6 + -11x = -27 Add '-6' to each side of the equation. 6 + -6 + -11x = -27 + -6 Combine like terms: 6 + -6 = 0 0 + -11x = -27 + -6 -11x = -27 + -6 Combine like terms: -27 + -6 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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