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Simplifying 2x + -5 + 3x + 5(2 + 3x) = 7x + -5 + 3x 2x + -5 + 3x + (2 * 5 + 3x * 5) = 7x + -5 + 3x 2x + -5 + 3x + (10 + 15x) = 7x + -5 + 3x Reorder the terms: -5 + 10 + 2x + 3x + 15x = 7x + -5 + 3x Combine like terms: -5 + 10 = 5 5 + 2x + 3x + 15x = 7x + -5 + 3x Combine like terms: 2x + 3x = 5x 5 + 5x + 15x = 7x + -5 + 3x Combine like terms: 5x + 15x = 20x 5 + 20x = 7x + -5 + 3x Reorder the terms: 5 + 20x = -5 + 7x + 3x Combine like terms: 7x + 3x = 10x 5 + 20x = -5 + 10x Solving 5 + 20x = -5 + 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. 5 + 20x + -10x = -5 + 10x + -10x Combine like terms: 20x + -10x = 10x 5 + 10x = -5 + 10x + -10x Combine like terms: 10x + -10x = 0 5 + 10x = -5 + 0 5 + 10x = -5 Add '-5' to each side of the equation. 5 + -5 + 10x = -5 + -5 Combine like terms: 5 + -5 = 0 0 + 10x = -5 + -5 10x = -5 + -5 Combine like terms: -5 + -5 = -10 10x = -10 Divide each side by '10'. x = -1 Simplifying x = -1
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