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Simplifying 5(4x + -1) + -9x = 9x + 3(2x + 5) Reorder the terms: 5(-1 + 4x) + -9x = 9x + 3(2x + 5) (-1 * 5 + 4x * 5) + -9x = 9x + 3(2x + 5) (-5 + 20x) + -9x = 9x + 3(2x + 5) Combine like terms: 20x + -9x = 11x -5 + 11x = 9x + 3(2x + 5) Reorder the terms: -5 + 11x = 9x + 3(5 + 2x) -5 + 11x = 9x + (5 * 3 + 2x * 3) -5 + 11x = 9x + (15 + 6x) Reorder the terms: -5 + 11x = 15 + 9x + 6x Combine like terms: 9x + 6x = 15x -5 + 11x = 15 + 15x Solving -5 + 11x = 15 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -5 + 11x + -15x = 15 + 15x + -15x Combine like terms: 11x + -15x = -4x -5 + -4x = 15 + 15x + -15x Combine like terms: 15x + -15x = 0 -5 + -4x = 15 + 0 -5 + -4x = 15 Add '5' to each side of the equation. -5 + 5 + -4x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 15 + 5 -4x = 15 + 5 Combine like terms: 15 + 5 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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