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Simplifying -27(x + -35) = 27(-6x + 15) Reorder the terms: -27(-35 + x) = 27(-6x + 15) (-35 * -27 + x * -27) = 27(-6x + 15) (945 + -27x) = 27(-6x + 15) Reorder the terms: 945 + -27x = 27(15 + -6x) 945 + -27x = (15 * 27 + -6x * 27) 945 + -27x = (405 + -162x) Solving 945 + -27x = 405 + -162x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '162x' to each side of the equation. 945 + -27x + 162x = 405 + -162x + 162x Combine like terms: -27x + 162x = 135x 945 + 135x = 405 + -162x + 162x Combine like terms: -162x + 162x = 0 945 + 135x = 405 + 0 945 + 135x = 405 Add '-945' to each side of the equation. 945 + -945 + 135x = 405 + -945 Combine like terms: 945 + -945 = 0 0 + 135x = 405 + -945 135x = 405 + -945 Combine like terms: 405 + -945 = -540 135x = -540 Divide each side by '135'. x = -4 Simplifying x = -4
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