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Simplifying 5x + 2(3x + 4) + -7 = 5(x + 5) Reorder the terms: 5x + 2(4 + 3x) + -7 = 5(x + 5) 5x + (4 * 2 + 3x * 2) + -7 = 5(x + 5) 5x + (8 + 6x) + -7 = 5(x + 5) Reorder the terms: 8 + -7 + 5x + 6x = 5(x + 5) Combine like terms: 8 + -7 = 1 1 + 5x + 6x = 5(x + 5) Combine like terms: 5x + 6x = 11x 1 + 11x = 5(x + 5) Reorder the terms: 1 + 11x = 5(5 + x) 1 + 11x = (5 * 5 + x * 5) 1 + 11x = (25 + 5x) Solving 1 + 11x = 25 + 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. 1 + 11x + -5x = 25 + 5x + -5x Combine like terms: 11x + -5x = 6x 1 + 6x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + 6x = 25 + 0 1 + 6x = 25 Add '-1' to each side of the equation. 1 + -1 + 6x = 25 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = 25 + -1 6x = 25 + -1 Combine like terms: 25 + -1 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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