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Simplifying 5(x + -3) = 27 + -2x Reorder the terms: 5(-3 + x) = 27 + -2x (-3 * 5 + x * 5) = 27 + -2x (-15 + 5x) = 27 + -2x Solving -15 + 5x = 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. -15 + 5x + 2x = 27 + -2x + 2x Combine like terms: 5x + 2x = 7x -15 + 7x = 27 + -2x + 2x Combine like terms: -2x + 2x = 0 -15 + 7x = 27 + 0 -15 + 7x = 27 Add '15' to each side of the equation. -15 + 15 + 7x = 27 + 15 Combine like terms: -15 + 15 = 0 0 + 7x = 27 + 15 7x = 27 + 15 Combine like terms: 27 + 15 = 42 7x = 42 Divide each side by '7'. x = 6 Simplifying x = 6
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