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Simplifying 9 + -1(2x + 10) = 27 + -6x Reorder the terms: 9 + -1(10 + 2x) = 27 + -6x 9 + (10 * -1 + 2x * -1) = 27 + -6x 9 + (-10 + -2x) = 27 + -6x Combine like terms: 9 + -10 = -1 -1 + -2x = 27 + -6x Solving -1 + -2x = 27 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -1 + -2x + 6x = 27 + -6x + 6x Combine like terms: -2x + 6x = 4x -1 + 4x = 27 + -6x + 6x Combine like terms: -6x + 6x = 0 -1 + 4x = 27 + 0 -1 + 4x = 27 Add '1' to each side of the equation. -1 + 1 + 4x = 27 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 27 + 1 4x = 27 + 1 Combine like terms: 27 + 1 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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