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Simplifying 9x + -3(2x + 5) = 4(5x + 2) + -6 Reorder the terms: 9x + -3(5 + 2x) = 4(5x + 2) + -6 9x + (5 * -3 + 2x * -3) = 4(5x + 2) + -6 9x + (-15 + -6x) = 4(5x + 2) + -6 Reorder the terms: -15 + 9x + -6x = 4(5x + 2) + -6 Combine like terms: 9x + -6x = 3x -15 + 3x = 4(5x + 2) + -6 Reorder the terms: -15 + 3x = 4(2 + 5x) + -6 -15 + 3x = (2 * 4 + 5x * 4) + -6 -15 + 3x = (8 + 20x) + -6 Reorder the terms: -15 + 3x = 8 + -6 + 20x Combine like terms: 8 + -6 = 2 -15 + 3x = 2 + 20x Solving -15 + 3x = 2 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 3x + -20x = 2 + 20x + -20x Combine like terms: 3x + -20x = -17x -15 + -17x = 2 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -17x = 2 + 0 -15 + -17x = 2 Add '15' to each side of the equation. -15 + 15 + -17x = 2 + 15 Combine like terms: -15 + 15 = 0 0 + -17x = 2 + 15 -17x = 2 + 15 Combine like terms: 2 + 15 = 17 -17x = 17 Divide each side by '-17'. x = -1 Simplifying x = -1
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