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Simplifying 6(2x + 1) = 8(5x + 1) + 5 Reorder the terms: 6(1 + 2x) = 8(5x + 1) + 5 (1 * 6 + 2x * 6) = 8(5x + 1) + 5 (6 + 12x) = 8(5x + 1) + 5 Reorder the terms: 6 + 12x = 8(1 + 5x) + 5 6 + 12x = (1 * 8 + 5x * 8) + 5 6 + 12x = (8 + 40x) + 5 Reorder the terms: 6 + 12x = 8 + 5 + 40x Combine like terms: 8 + 5 = 13 6 + 12x = 13 + 40x Solving 6 + 12x = 13 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 6 + 12x + -40x = 13 + 40x + -40x Combine like terms: 12x + -40x = -28x 6 + -28x = 13 + 40x + -40x Combine like terms: 40x + -40x = 0 6 + -28x = 13 + 0 6 + -28x = 13 Add '-6' to each side of the equation. 6 + -6 + -28x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + -28x = 13 + -6 -28x = 13 + -6 Combine like terms: 13 + -6 = 7 -28x = 7 Divide each side by '-28'. x = -0.25 Simplifying x = -0.25
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