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Simplifying 183 = 3x + 7(6x + -6) Reorder the terms: 183 = 3x + 7(-6 + 6x) 183 = 3x + (-6 * 7 + 6x * 7) 183 = 3x + (-42 + 42x) Reorder the terms: 183 = -42 + 3x + 42x Combine like terms: 3x + 42x = 45x 183 = -42 + 45x Solving 183 = -42 + 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. 183 + -45x = -42 + 45x + -45x Combine like terms: 45x + -45x = 0 183 + -45x = -42 + 0 183 + -45x = -42 Add '-183' to each side of the equation. 183 + -183 + -45x = -42 + -183 Combine like terms: 183 + -183 = 0 0 + -45x = -42 + -183 -45x = -42 + -183 Combine like terms: -42 + -183 = -225 -45x = -225 Divide each side by '-45'. x = 5 Simplifying x = 5
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