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Simplifying -3(1 + 2x) = 2x + 27 (1 * -3 + 2x * -3) = 2x + 27 (-3 + -6x) = 2x + 27 Reorder the terms: -3 + -6x = 27 + 2x Solving -3 + -6x = 27 + 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 = 27 + 2x + -2x Combine like terms: -6x + -2x = -8x -3 + -8x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 -3 + -8x = 27 + 0 -3 + -8x = 27 Add '3' to each side of the equation. -3 + 3 + -8x = 27 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 27 + 3 -8x = 27 + 3 Combine like terms: 27 + 3 = 30 -8x = 30 Divide each side by '-8'. x = -3.75 Simplifying x = -3.75
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