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Simplifying 6x + -1(x + -27) = 2x + -1(6 + x) Reorder the terms: 6x + -1(-27 + x) = 2x + -1(6 + x) 6x + (-27 * -1 + x * -1) = 2x + -1(6 + x) 6x + (27 + -1x) = 2x + -1(6 + x) Reorder the terms: 27 + 6x + -1x = 2x + -1(6 + x) Combine like terms: 6x + -1x = 5x 27 + 5x = 2x + -1(6 + x) 27 + 5x = 2x + (6 * -1 + x * -1) 27 + 5x = 2x + (-6 + -1x) Reorder the terms: 27 + 5x = -6 + 2x + -1x Combine like terms: 2x + -1x = 1x 27 + 5x = -6 + 1x Solving 27 + 5x = -6 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 5x + -1x = -6 + 1x + -1x Combine like terms: 5x + -1x = 4x 27 + 4x = -6 + 1x + -1x Combine like terms: 1x + -1x = 0 27 + 4x = -6 + 0 27 + 4x = -6 Add '-27' to each side of the equation. 27 + -27 + 4x = -6 + -27 Combine like terms: 27 + -27 = 0 0 + 4x = -6 + -27 4x = -6 + -27 Combine like terms: -6 + -27 = -33 4x = -33 Divide each side by '4'. x = -8.25 Simplifying x = -8.25
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