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Simplifying (4x + -6) + (7x + -24) = 58 Reorder the terms: (-6 + 4x) + (7x + -24) = 58 Remove parenthesis around (-6 + 4x) -6 + 4x + (7x + -24) = 58 Reorder the terms: -6 + 4x + (-24 + 7x) = 58 Remove parenthesis around (-24 + 7x) -6 + 4x + -24 + 7x = 58 Reorder the terms: -6 + -24 + 4x + 7x = 58 Combine like terms: -6 + -24 = -30 -30 + 4x + 7x = 58 Combine like terms: 4x + 7x = 11x -30 + 11x = 58 Solving -30 + 11x = 58 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 11x = 58 + 30 Combine like terms: -30 + 30 = 0 0 + 11x = 58 + 30 11x = 58 + 30 Combine like terms: 58 + 30 = 88 11x = 88 Divide each side by '11'. x = 8 Simplifying x = 8
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