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Simplifying 5x + 4 + -9x = 9(4x + 5) Reorder the terms: 4 + 5x + -9x = 9(4x + 5) Combine like terms: 5x + -9x = -4x 4 + -4x = 9(4x + 5) Reorder the terms: 4 + -4x = 9(5 + 4x) 4 + -4x = (5 * 9 + 4x * 9) 4 + -4x = (45 + 36x) Solving 4 + -4x = 45 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 4 + -4x + -36x = 45 + 36x + -36x Combine like terms: -4x + -36x = -40x 4 + -40x = 45 + 36x + -36x Combine like terms: 36x + -36x = 0 4 + -40x = 45 + 0 4 + -40x = 45 Add '-4' to each side of the equation. 4 + -4 + -40x = 45 + -4 Combine like terms: 4 + -4 = 0 0 + -40x = 45 + -4 -40x = 45 + -4 Combine like terms: 45 + -4 = 41 -40x = 41 Divide each side by '-40'. x = -1.025 Simplifying x = -1.025
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