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Simplifying 9 + -6(x + 1) = 2(x + -4) + 27 Reorder the terms: 9 + -6(1 + x) = 2(x + -4) + 27 9 + (1 * -6 + x * -6) = 2(x + -4) + 27 9 + (-6 + -6x) = 2(x + -4) + 27 Combine like terms: 9 + -6 = 3 3 + -6x = 2(x + -4) + 27 Reorder the terms: 3 + -6x = 2(-4 + x) + 27 3 + -6x = (-4 * 2 + x * 2) + 27 3 + -6x = (-8 + 2x) + 27 Reorder the terms: 3 + -6x = -8 + 27 + 2x Combine like terms: -8 + 27 = 19 3 + -6x = 19 + 2x Solving 3 + -6x = 19 + 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. 3 + -6x + -2x = 19 + 2x + -2x Combine like terms: -6x + -2x = -8x 3 + -8x = 19 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + -8x = 19 + 0 3 + -8x = 19 Add '-3' to each side of the equation. 3 + -3 + -8x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 19 + -3 -8x = 19 + -3 Combine like terms: 19 + -3 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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