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Simplifying 8x + -1(9x + 15) = 6x + -33 Reorder the terms: 8x + -1(15 + 9x) = 6x + -33 8x + (15 * -1 + 9x * -1) = 6x + -33 8x + (-15 + -9x) = 6x + -33 Reorder the terms: -15 + 8x + -9x = 6x + -33 Combine like terms: 8x + -9x = -1x -15 + -1x = 6x + -33 Reorder the terms: -15 + -1x = -33 + 6x Solving -15 + -1x = -33 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -15 + -1x + -6x = -33 + 6x + -6x Combine like terms: -1x + -6x = -7x -15 + -7x = -33 + 6x + -6x Combine like terms: 6x + -6x = 0 -15 + -7x = -33 + 0 -15 + -7x = -33 Add '15' to each side of the equation. -15 + 15 + -7x = -33 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -33 + 15 -7x = -33 + 15 Combine like terms: -33 + 15 = -18 -7x = -18 Divide each side by '-7'. x = 2.571428571 Simplifying x = 2.571428571
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