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Simplifying 4x + -5 = 9(x + -5) Reorder the terms: -5 + 4x = 9(x + -5) Reorder the terms: -5 + 4x = 9(-5 + x) -5 + 4x = (-5 * 9 + x * 9) -5 + 4x = (-45 + 9x) Solving -5 + 4x = -45 + 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. -5 + 4x + -9x = -45 + 9x + -9x Combine like terms: 4x + -9x = -5x -5 + -5x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -5 + -5x = -45 + 0 -5 + -5x = -45 Add '5' to each side of the equation. -5 + 5 + -5x = -45 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -45 + 5 -5x = -45 + 5 Combine like terms: -45 + 5 = -40 -5x = -40 Divide each side by '-5'. x = 8 Simplifying x = 8
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