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Simplifying 9(3x + 6) + -8(x + 6) = 10x + 2 + -5 Reorder the terms: 9(6 + 3x) + -8(x + 6) = 10x + 2 + -5 (6 * 9 + 3x * 9) + -8(x + 6) = 10x + 2 + -5 (54 + 27x) + -8(x + 6) = 10x + 2 + -5 Reorder the terms: 54 + 27x + -8(6 + x) = 10x + 2 + -5 54 + 27x + (6 * -8 + x * -8) = 10x + 2 + -5 54 + 27x + (-48 + -8x) = 10x + 2 + -5 Reorder the terms: 54 + -48 + 27x + -8x = 10x + 2 + -5 Combine like terms: 54 + -48 = 6 6 + 27x + -8x = 10x + 2 + -5 Combine like terms: 27x + -8x = 19x 6 + 19x = 10x + 2 + -5 Reorder the terms: 6 + 19x = 2 + -5 + 10x Combine like terms: 2 + -5 = -3 6 + 19x = -3 + 10x Solving 6 + 19x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 6 + 19x + -10x = -3 + 10x + -10x Combine like terms: 19x + -10x = 9x 6 + 9x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 6 + 9x = -3 + 0 6 + 9x = -3 Add '-6' to each side of the equation. 6 + -6 + 9x = -3 + -6 Combine like terms: 6 + -6 = 0 0 + 9x = -3 + -6 9x = -3 + -6 Combine like terms: -3 + -6 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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