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Simplifying 3x + -1(2x + 9) = 4x + -27 Reorder the terms: 3x + -1(9 + 2x) = 4x + -27 3x + (9 * -1 + 2x * -1) = 4x + -27 3x + (-9 + -2x) = 4x + -27 Reorder the terms: -9 + 3x + -2x = 4x + -27 Combine like terms: 3x + -2x = 1x -9 + 1x = 4x + -27 Reorder the terms: -9 + 1x = -27 + 4x Solving -9 + 1x = -27 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -9 + 1x + -4x = -27 + 4x + -4x Combine like terms: 1x + -4x = -3x -9 + -3x = -27 + 4x + -4x Combine like terms: 4x + -4x = 0 -9 + -3x = -27 + 0 -9 + -3x = -27 Add '9' to each side of the equation. -9 + 9 + -3x = -27 + 9 Combine like terms: -9 + 9 = 0 0 + -3x = -27 + 9 -3x = -27 + 9 Combine like terms: -27 + 9 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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