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Simplifying 4(2 + -3x) = 2x + -27 (2 * 4 + -3x * 4) = 2x + -27 (8 + -12x) = 2x + -27 Reorder the terms: 8 + -12x = -27 + 2x Solving 8 + -12x = -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. 8 + -12x + -2x = -27 + 2x + -2x Combine like terms: -12x + -2x = -14x 8 + -14x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + -14x = -27 + 0 8 + -14x = -27 Add '-8' to each side of the equation. 8 + -8 + -14x = -27 + -8 Combine like terms: 8 + -8 = 0 0 + -14x = -27 + -8 -14x = -27 + -8 Combine like terms: -27 + -8 = -35 -14x = -35 Divide each side by '-14'. x = 2.5 Simplifying x = 2.5
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