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Simplifying 9x + -3(x + -9) = 2(x + -3) + 8 Reorder the terms: 9x + -3(-9 + x) = 2(x + -3) + 8 9x + (-9 * -3 + x * -3) = 2(x + -3) + 8 9x + (27 + -3x) = 2(x + -3) + 8 Reorder the terms: 27 + 9x + -3x = 2(x + -3) + 8 Combine like terms: 9x + -3x = 6x 27 + 6x = 2(x + -3) + 8 Reorder the terms: 27 + 6x = 2(-3 + x) + 8 27 + 6x = (-3 * 2 + x * 2) + 8 27 + 6x = (-6 + 2x) + 8 Reorder the terms: 27 + 6x = -6 + 8 + 2x Combine like terms: -6 + 8 = 2 27 + 6x = 2 + 2x Solving 27 + 6x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 6x + -2x = 2 + 2x + -2x Combine like terms: 6x + -2x = 4x 27 + 4x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 4x = 2 + 0 27 + 4x = 2 Add '-27' to each side of the equation. 27 + -27 + 4x = 2 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = 2 + -27 4x = 2 + -27 Combine like terms: 2 + -27 = -25 4x = -25 Divide each side by '4'. x = -6.25 Simplifying x = -6.25
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