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Simplifying 6x + -33 = 45(x + 2) Reorder the terms: -33 + 6x = 45(x + 2) Reorder the terms: -33 + 6x = 45(2 + x) -33 + 6x = (2 * 45 + x * 45) -33 + 6x = (90 + 45x) Solving -33 + 6x = 90 + 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. -33 + 6x + -45x = 90 + 45x + -45x Combine like terms: 6x + -45x = -39x -33 + -39x = 90 + 45x + -45x Combine like terms: 45x + -45x = 0 -33 + -39x = 90 + 0 -33 + -39x = 90 Add '33' to each side of the equation. -33 + 33 + -39x = 90 + 33 Combine like terms: -33 + 33 = 0 0 + -39x = 90 + 33 -39x = 90 + 33 Combine like terms: 90 + 33 = 123 -39x = 123 Divide each side by '-39'. x = -3.153846154 Simplifying x = -3.153846154
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