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Simplifying -4x + 9(x + -5) = 12x + 4 + -3x Reorder the terms: -4x + 9(-5 + x) = 12x + 4 + -3x -4x + (-5 * 9 + x * 9) = 12x + 4 + -3x -4x + (-45 + 9x) = 12x + 4 + -3x Reorder the terms: -45 + -4x + 9x = 12x + 4 + -3x Combine like terms: -4x + 9x = 5x -45 + 5x = 12x + 4 + -3x Reorder the terms: -45 + 5x = 4 + 12x + -3x Combine like terms: 12x + -3x = 9x -45 + 5x = 4 + 9x Solving -45 + 5x = 4 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -45 + 5x + -9x = 4 + 9x + -9x Combine like terms: 5x + -9x = -4x -45 + -4x = 4 + 9x + -9x Combine like terms: 9x + -9x = 0 -45 + -4x = 4 + 0 -45 + -4x = 4 Add '45' to each side of the equation. -45 + 45 + -4x = 4 + 45 Combine like terms: -45 + 45 = 0 0 + -4x = 4 + 45 -4x = 4 + 45 Combine like terms: 4 + 45 = 49 -4x = 49 Divide each side by '-4'. x = -12.25 Simplifying x = -12.25
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