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Simplifying (4x + -3) * 5 + -6x = -4(5 + 9x) Reorder the terms: (-3 + 4x) * 5 + -6x = -4(5 + 9x) Reorder the terms for easier multiplication: 5(-3 + 4x) + -6x = -4(5 + 9x) (-3 * 5 + 4x * 5) + -6x = -4(5 + 9x) (-15 + 20x) + -6x = -4(5 + 9x) Combine like terms: 20x + -6x = 14x -15 + 14x = -4(5 + 9x) -15 + 14x = (5 * -4 + 9x * -4) -15 + 14x = (-20 + -36x) Solving -15 + 14x = -20 + -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. -15 + 14x + 36x = -20 + -36x + 36x Combine like terms: 14x + 36x = 50x -15 + 50x = -20 + -36x + 36x Combine like terms: -36x + 36x = 0 -15 + 50x = -20 + 0 -15 + 50x = -20 Add '15' to each side of the equation. -15 + 15 + 50x = -20 + 15 Combine like terms: -15 + 15 = 0 0 + 50x = -20 + 15 50x = -20 + 15 Combine like terms: -20 + 15 = -5 50x = -5 Divide each side by '50'. x = -0.1 Simplifying x = -0.1
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