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Simplifying 7(2x + 1) = 6(x + 5) Reorder the terms: 7(1 + 2x) = 6(x + 5) (1 * 7 + 2x * 7) = 6(x + 5) (7 + 14x) = 6(x + 5) Reorder the terms: 7 + 14x = 6(5 + x) 7 + 14x = (5 * 6 + x * 6) 7 + 14x = (30 + 6x) Solving 7 + 14x = 30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 14x + -6x = 30 + 6x + -6x Combine like terms: 14x + -6x = 8x 7 + 8x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 8x = 30 + 0 7 + 8x = 30 Add '-7' to each side of the equation. 7 + -7 + 8x = 30 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 30 + -7 8x = 30 + -7 Combine like terms: 30 + -7 = 23 8x = 23 Divide each side by '8'. x = 2.875 Simplifying x = 2.875
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