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Simplifying 5x + 3(2x + 1) = 7(x + 3) + 5 Reorder the terms: 5x + 3(1 + 2x) = 7(x + 3) + 5 5x + (1 * 3 + 2x * 3) = 7(x + 3) + 5 5x + (3 + 6x) = 7(x + 3) + 5 Reorder the terms: 3 + 5x + 6x = 7(x + 3) + 5 Combine like terms: 5x + 6x = 11x 3 + 11x = 7(x + 3) + 5 Reorder the terms: 3 + 11x = 7(3 + x) + 5 3 + 11x = (3 * 7 + x * 7) + 5 3 + 11x = (21 + 7x) + 5 Reorder the terms: 3 + 11x = 21 + 5 + 7x Combine like terms: 21 + 5 = 26 3 + 11x = 26 + 7x Solving 3 + 11x = 26 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 3 + 11x + -7x = 26 + 7x + -7x Combine like terms: 11x + -7x = 4x 3 + 4x = 26 + 7x + -7x Combine like terms: 7x + -7x = 0 3 + 4x = 26 + 0 3 + 4x = 26 Add '-3' to each side of the equation. 3 + -3 + 4x = 26 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 26 + -3 4x = 26 + -3 Combine like terms: 26 + -3 = 23 4x = 23 Divide each side by '4'. x = 5.75 Simplifying x = 5.75
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