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Simplifying 3(2x + 1) * 5 = 6(x + 1) Reorder the terms: 3(1 + 2x) * 5 = 6(x + 1) Reorder the terms for easier multiplication: 3 * 5(1 + 2x) = 6(x + 1) Multiply 3 * 5 15(1 + 2x) = 6(x + 1) (1 * 15 + 2x * 15) = 6(x + 1) (15 + 30x) = 6(x + 1) Reorder the terms: 15 + 30x = 6(1 + x) 15 + 30x = (1 * 6 + x * 6) 15 + 30x = (6 + 6x) Solving 15 + 30x = 6 + 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. 15 + 30x + -6x = 6 + 6x + -6x Combine like terms: 30x + -6x = 24x 15 + 24x = 6 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 24x = 6 + 0 15 + 24x = 6 Add '-15' to each side of the equation. 15 + -15 + 24x = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 24x = 6 + -15 24x = 6 + -15 Combine like terms: 6 + -15 = -9 24x = -9 Divide each side by '24'. x = -0.375 Simplifying x = -0.375
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