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Simplifying 2(4x + 7) + 6x = 5(x + 10) Reorder the terms: 2(7 + 4x) + 6x = 5(x + 10) (7 * 2 + 4x * 2) + 6x = 5(x + 10) (14 + 8x) + 6x = 5(x + 10) Combine like terms: 8x + 6x = 14x 14 + 14x = 5(x + 10) Reorder the terms: 14 + 14x = 5(10 + x) 14 + 14x = (10 * 5 + x * 5) 14 + 14x = (50 + 5x) Solving 14 + 14x = 50 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 14 + 14x + -5x = 50 + 5x + -5x Combine like terms: 14x + -5x = 9x 14 + 9x = 50 + 5x + -5x Combine like terms: 5x + -5x = 0 14 + 9x = 50 + 0 14 + 9x = 50 Add '-14' to each side of the equation. 14 + -14 + 9x = 50 + -14 Combine like terms: 14 + -14 = 0 0 + 9x = 50 + -14 9x = 50 + -14 Combine like terms: 50 + -14 = 36 9x = 36 Divide each side by '9'. x = 4 Simplifying x = 4
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