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Simplifying -5x + 27 = 4(x + -9) Reorder the terms: 27 + -5x = 4(x + -9) Reorder the terms: 27 + -5x = 4(-9 + x) 27 + -5x = (-9 * 4 + x * 4) 27 + -5x = (-36 + 4x) Solving 27 + -5x = -36 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 27 + -5x + -4x = -36 + 4x + -4x Combine like terms: -5x + -4x = -9x 27 + -9x = -36 + 4x + -4x Combine like terms: 4x + -4x = 0 27 + -9x = -36 + 0 27 + -9x = -36 Add '-27' to each side of the equation. 27 + -27 + -9x = -36 + -27 Combine like terms: 27 + -27 = 0 0 + -9x = -36 + -27 -9x = -36 + -27 Combine like terms: -36 + -27 = -63 -9x = -63 Divide each side by '-9'. x = 7 Simplifying x = 7
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