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Simplifying 9x + -1(3x + 9) = 7x + -33 Reorder the terms: 9x + -1(9 + 3x) = 7x + -33 9x + (9 * -1 + 3x * -1) = 7x + -33 9x + (-9 + -3x) = 7x + -33 Reorder the terms: -9 + 9x + -3x = 7x + -33 Combine like terms: 9x + -3x = 6x -9 + 6x = 7x + -33 Reorder the terms: -9 + 6x = -33 + 7x Solving -9 + 6x = -33 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -9 + 6x + -7x = -33 + 7x + -7x Combine like terms: 6x + -7x = -1x -9 + -1x = -33 + 7x + -7x Combine like terms: 7x + -7x = 0 -9 + -1x = -33 + 0 -9 + -1x = -33 Add '9' to each side of the equation. -9 + 9 + -1x = -33 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = -33 + 9 -1x = -33 + 9 Combine like terms: -33 + 9 = -24 -1x = -24 Divide each side by '-1'. x = 24 Simplifying x = 24
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