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Simplifying 9(x + -10) + -4x = 8x + 27 Reorder the terms: 9(-10 + x) + -4x = 8x + 27 (-10 * 9 + x * 9) + -4x = 8x + 27 (-90 + 9x) + -4x = 8x + 27 Combine like terms: 9x + -4x = 5x -90 + 5x = 8x + 27 Reorder the terms: -90 + 5x = 27 + 8x Solving -90 + 5x = 27 + 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. -90 + 5x + -8x = 27 + 8x + -8x Combine like terms: 5x + -8x = -3x -90 + -3x = 27 + 8x + -8x Combine like terms: 8x + -8x = 0 -90 + -3x = 27 + 0 -90 + -3x = 27 Add '90' to each side of the equation. -90 + 90 + -3x = 27 + 90 Combine like terms: -90 + 90 = 0 0 + -3x = 27 + 90 -3x = 27 + 90 Combine like terms: 27 + 90 = 117 -3x = 117 Divide each side by '-3'. x = -39 Simplifying x = -39
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