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Simplifying 3(x + 1) = 2x(3 + 2) + -3 Reorder the terms: 3(1 + x) = 2x(3 + 2) + -3 (1 * 3 + x * 3) = 2x(3 + 2) + -3 (3 + 3x) = 2x(3 + 2) + -3 Combine like terms: 3 + 2 = 5 3 + 3x = 2x(5) + -3 Reorder the terms for easier multiplication: 3 + 3x = 2 * 5x + -3 Multiply 2 * 5 3 + 3x = 10x + -3 Reorder the terms: 3 + 3x = -3 + 10x Solving 3 + 3x = -3 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 3 + 3x + -10x = -3 + 10x + -10x Combine like terms: 3x + -10x = -7x 3 + -7x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 3 + -7x = -3 + 0 3 + -7x = -3 Add '-3' to each side of the equation. 3 + -3 + -7x = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -3 + -3 -7x = -3 + -3 Combine like terms: -3 + -3 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571
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