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Simplifying 5(x + -3) + -12 = 30x + -327 Reorder the terms: 5(-3 + x) + -12 = 30x + -327 (-3 * 5 + x * 5) + -12 = 30x + -327 (-15 + 5x) + -12 = 30x + -327 Reorder the terms: -15 + -12 + 5x = 30x + -327 Combine like terms: -15 + -12 = -27 -27 + 5x = 30x + -327 Reorder the terms: -27 + 5x = -327 + 30x Solving -27 + 5x = -327 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. -27 + 5x + -30x = -327 + 30x + -30x Combine like terms: 5x + -30x = -25x -27 + -25x = -327 + 30x + -30x Combine like terms: 30x + -30x = 0 -27 + -25x = -327 + 0 -27 + -25x = -327 Add '27' to each side of the equation. -27 + 27 + -25x = -327 + 27 Combine like terms: -27 + 27 = 0 0 + -25x = -327 + 27 -25x = -327 + 27 Combine like terms: -327 + 27 = -300 -25x = -300 Divide each side by '-25'. x = 12 Simplifying x = 12
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