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Simplifying 3(2x + 5) + 2(3 + -1x) = 5x Reorder the terms: 3(5 + 2x) + 2(3 + -1x) = 5x (5 * 3 + 2x * 3) + 2(3 + -1x) = 5x (15 + 6x) + 2(3 + -1x) = 5x 15 + 6x + (3 * 2 + -1x * 2) = 5x 15 + 6x + (6 + -2x) = 5x Reorder the terms: 15 + 6 + 6x + -2x = 5x Combine like terms: 15 + 6 = 21 21 + 6x + -2x = 5x Combine like terms: 6x + -2x = 4x 21 + 4x = 5x Solving 21 + 4x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 21 + 4x + -5x = 5x + -5x Combine like terms: 4x + -5x = -1x 21 + -1x = 5x + -5x Combine like terms: 5x + -5x = 0 21 + -1x = 0 Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21
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