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Simplifying 3(2x + 1) + 5 = 7(2x + 3) Reorder the terms: 3(1 + 2x) + 5 = 7(2x + 3) (1 * 3 + 2x * 3) + 5 = 7(2x + 3) (3 + 6x) + 5 = 7(2x + 3) Reorder the terms: 3 + 5 + 6x = 7(2x + 3) Combine like terms: 3 + 5 = 8 8 + 6x = 7(2x + 3) Reorder the terms: 8 + 6x = 7(3 + 2x) 8 + 6x = (3 * 7 + 2x * 7) 8 + 6x = (21 + 14x) Solving 8 + 6x = 21 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 8 + 6x + -14x = 21 + 14x + -14x Combine like terms: 6x + -14x = -8x 8 + -8x = 21 + 14x + -14x Combine like terms: 14x + -14x = 0 8 + -8x = 21 + 0 8 + -8x = 21 Add '-8' to each side of the equation. 8 + -8 + -8x = 21 + -8 Combine like terms: 8 + -8 = 0 0 + -8x = 21 + -8 -8x = 21 + -8 Combine like terms: 21 + -8 = 13 -8x = 13 Divide each side by '-8'. x = -1.625 Simplifying x = -1.625
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