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Simplifying -27 + 5x = 7 + -3(x + -2) Reorder the terms: -27 + 5x = 7 + -3(-2 + x) -27 + 5x = 7 + (-2 * -3 + x * -3) -27 + 5x = 7 + (6 + -3x) Combine like terms: 7 + 6 = 13 -27 + 5x = 13 + -3x Solving -27 + 5x = 13 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -27 + 5x + 3x = 13 + -3x + 3x Combine like terms: 5x + 3x = 8x -27 + 8x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 -27 + 8x = 13 + 0 -27 + 8x = 13 Add '27' to each side of the equation. -27 + 27 + 8x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 13 + 27 8x = 13 + 27 Combine like terms: 13 + 27 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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