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Simplifying 6(2x + -1) + 9(x + 1) = 8(x + -4) Reorder the terms: 6(-1 + 2x) + 9(x + 1) = 8(x + -4) (-1 * 6 + 2x * 6) + 9(x + 1) = 8(x + -4) (-6 + 12x) + 9(x + 1) = 8(x + -4) Reorder the terms: -6 + 12x + 9(1 + x) = 8(x + -4) -6 + 12x + (1 * 9 + x * 9) = 8(x + -4) -6 + 12x + (9 + 9x) = 8(x + -4) Reorder the terms: -6 + 9 + 12x + 9x = 8(x + -4) Combine like terms: -6 + 9 = 3 3 + 12x + 9x = 8(x + -4) Combine like terms: 12x + 9x = 21x 3 + 21x = 8(x + -4) Reorder the terms: 3 + 21x = 8(-4 + x) 3 + 21x = (-4 * 8 + x * 8) 3 + 21x = (-32 + 8x) Solving 3 + 21x = -32 + 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. 3 + 21x + -8x = -32 + 8x + -8x Combine like terms: 21x + -8x = 13x 3 + 13x = -32 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 13x = -32 + 0 3 + 13x = -32 Add '-3' to each side of the equation. 3 + -3 + 13x = -32 + -3 Combine like terms: 3 + -3 = 0 0 + 13x = -32 + -3 13x = -32 + -3 Combine like terms: -32 + -3 = -35 13x = -35 Divide each side by '13'. x = -2.692307692 Simplifying x = -2.692307692
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