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Simplifying 7(2x + 4) = 5x + 6x + 58 Reorder the terms: 7(4 + 2x) = 5x + 6x + 58 (4 * 7 + 2x * 7) = 5x + 6x + 58 (28 + 14x) = 5x + 6x + 58 Reorder the terms: 28 + 14x = 58 + 5x + 6x Combine like terms: 5x + 6x = 11x 28 + 14x = 58 + 11x Solving 28 + 14x = 58 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 28 + 14x + -11x = 58 + 11x + -11x Combine like terms: 14x + -11x = 3x 28 + 3x = 58 + 11x + -11x Combine like terms: 11x + -11x = 0 28 + 3x = 58 + 0 28 + 3x = 58 Add '-28' to each side of the equation. 28 + -28 + 3x = 58 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = 58 + -28 3x = 58 + -28 Combine like terms: 58 + -28 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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