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Simplifying -27 + 6x = 5(x + -3) + 3x Reorder the terms: -27 + 6x = 5(-3 + x) + 3x -27 + 6x = (-3 * 5 + x * 5) + 3x -27 + 6x = (-15 + 5x) + 3x Combine like terms: 5x + 3x = 8x -27 + 6x = -15 + 8x Solving -27 + 6x = -15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + 6x + -8x = -15 + 8x + -8x Combine like terms: 6x + -8x = -2x -27 + -2x = -15 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -2x = -15 + 0 -27 + -2x = -15 Add '27' to each side of the equation. -27 + 27 + -2x = -15 + 27 Combine like terms: -27 + 27 = 0 0 + -2x = -15 + 27 -2x = -15 + 27 Combine like terms: -15 + 27 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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