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Simplifying -228 = 6(7x + 7) + 3x Reorder the terms: -228 = 6(7 + 7x) + 3x -228 = (7 * 6 + 7x * 6) + 3x -228 = (42 + 42x) + 3x Combine like terms: 42x + 3x = 45x -228 = 42 + 45x Solving -228 = 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. -228 + -45x = 42 + 45x + -45x Combine like terms: 45x + -45x = 0 -228 + -45x = 42 + 0 -228 + -45x = 42 Add '228' to each side of the equation. -228 + 228 + -45x = 42 + 228 Combine like terms: -228 + 228 = 0 0 + -45x = 42 + 228 -45x = 42 + 228 Combine like terms: 42 + 228 = 270 -45x = 270 Divide each side by '-45'. x = -6 Simplifying x = -6
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