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Simplifying 5x + -1(6x + 3) = 9x + -33 Reorder the terms: 5x + -1(3 + 6x) = 9x + -33 5x + (3 * -1 + 6x * -1) = 9x + -33 5x + (-3 + -6x) = 9x + -33 Reorder the terms: -3 + 5x + -6x = 9x + -33 Combine like terms: 5x + -6x = -1x -3 + -1x = 9x + -33 Reorder the terms: -3 + -1x = -33 + 9x Solving -3 + -1x = -33 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -3 + -1x + -9x = -33 + 9x + -9x Combine like terms: -1x + -9x = -10x -3 + -10x = -33 + 9x + -9x Combine like terms: 9x + -9x = 0 -3 + -10x = -33 + 0 -3 + -10x = -33 Add '3' to each side of the equation. -3 + 3 + -10x = -33 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -33 + 3 -10x = -33 + 3 Combine like terms: -33 + 3 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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