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Simplifying 4x + -9 = 5(x + -1) + -4 Reorder the terms: -9 + 4x = 5(x + -1) + -4 Reorder the terms: -9 + 4x = 5(-1 + x) + -4 -9 + 4x = (-1 * 5 + x * 5) + -4 -9 + 4x = (-5 + 5x) + -4 Reorder the terms: -9 + 4x = -5 + -4 + 5x Combine like terms: -5 + -4 = -9 -9 + 4x = -9 + 5x Add '9' to each side of the equation. -9 + 9 + 4x = -9 + 9 + 5x Combine like terms: -9 + 9 = 0 0 + 4x = -9 + 9 + 5x 4x = -9 + 9 + 5x Combine like terms: -9 + 9 = 0 4x = 0 + 5x 4x = 5x Solving 4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 4x + -5x = 5x + -5x Combine like terms: 4x + -5x = -1x -1x = 5x + -5x Combine like terms: 5x + -5x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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