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Simplifying 6x + -33 = 9(x + 1) Reorder the terms: -33 + 6x = 9(x + 1) Reorder the terms: -33 + 6x = 9(1 + x) -33 + 6x = (1 * 9 + x * 9) -33 + 6x = (9 + 9x) Solving -33 + 6x = 9 + 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. -33 + 6x + -9x = 9 + 9x + -9x Combine like terms: 6x + -9x = -3x -33 + -3x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 -33 + -3x = 9 + 0 -33 + -3x = 9 Add '33' to each side of the equation. -33 + 33 + -3x = 9 + 33 Combine like terms: -33 + 33 = 0 0 + -3x = 9 + 33 -3x = 9 + 33 Combine like terms: 9 + 33 = 42 -3x = 42 Divide each side by '-3'. x = -14 Simplifying x = -14
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