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Simplifying 9(x + 3) + -3x = 8(x + -2) + 27 Reorder the terms: 9(3 + x) + -3x = 8(x + -2) + 27 (3 * 9 + x * 9) + -3x = 8(x + -2) + 27 (27 + 9x) + -3x = 8(x + -2) + 27 Combine like terms: 9x + -3x = 6x 27 + 6x = 8(x + -2) + 27 Reorder the terms: 27 + 6x = 8(-2 + x) + 27 27 + 6x = (-2 * 8 + x * 8) + 27 27 + 6x = (-16 + 8x) + 27 Reorder the terms: 27 + 6x = -16 + 27 + 8x Combine like terms: -16 + 27 = 11 27 + 6x = 11 + 8x Solving 27 + 6x = 11 + 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. 27 + 6x + -8x = 11 + 8x + -8x Combine like terms: 6x + -8x = -2x 27 + -2x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 27 + -2x = 11 + 0 27 + -2x = 11 Add '-27' to each side of the equation. 27 + -27 + -2x = 11 + -27 Combine like terms: 27 + -27 = 0 0 + -2x = 11 + -27 -2x = 11 + -27 Combine like terms: 11 + -27 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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