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Simplifying (7x) + 30 = (9x) + 42 Reorder the terms: 30 + (7x) = (9x) + 42 Reorder the terms: 30 + (7x) = 42 + (9x) Solving 30 + (7x) = 42 + (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. 30 + (7x) + (-9x) = 42 + (9x) + (-9x) Combine like terms: (7x) + (-9x) = -2x 30 + -2x = 42 + (9x) + (-9x) Combine like terms: (9x) + (-9x) = 0 30 + -2x = 42 + 0 30 + -2x = 42 Add '-30' to each side of the equation. 30 + -30 + -2x = 42 + -30 Combine like terms: 30 + -30 = 0 0 + -2x = 42 + -30 -2x = 42 + -30 Combine like terms: 42 + -30 = 12 -2x = 12 Divide each side by '-2'. x = -6 Simplifying x = -6
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