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Simplifying 2(x + 3) + 3(x + 5) = 2x Reorder the terms: 2(3 + x) + 3(x + 5) = 2x (3 * 2 + x * 2) + 3(x + 5) = 2x (6 + 2x) + 3(x + 5) = 2x Reorder the terms: 6 + 2x + 3(5 + x) = 2x 6 + 2x + (5 * 3 + x * 3) = 2x 6 + 2x + (15 + 3x) = 2x Reorder the terms: 6 + 15 + 2x + 3x = 2x Combine like terms: 6 + 15 = 21 21 + 2x + 3x = 2x Combine like terms: 2x + 3x = 5x 21 + 5x = 2x Solving 21 + 5x = 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x 21 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 21 + 3x = 0 Add '-21' to each side of the equation. 21 + -21 + 3x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 0 + -21 3x = 0 + -21 Combine like terms: 0 + -21 = -21 3x = -21 Divide each side by '3'. x = -7 Simplifying x = -7
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