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Simplifying 2x + 3(2x + 5) = 2(3x + -3) + 1 Reorder the terms: 2x + 3(5 + 2x) = 2(3x + -3) + 1 2x + (5 * 3 + 2x * 3) = 2(3x + -3) + 1 2x + (15 + 6x) = 2(3x + -3) + 1 Reorder the terms: 15 + 2x + 6x = 2(3x + -3) + 1 Combine like terms: 2x + 6x = 8x 15 + 8x = 2(3x + -3) + 1 Reorder the terms: 15 + 8x = 2(-3 + 3x) + 1 15 + 8x = (-3 * 2 + 3x * 2) + 1 15 + 8x = (-6 + 6x) + 1 Reorder the terms: 15 + 8x = -6 + 1 + 6x Combine like terms: -6 + 1 = -5 15 + 8x = -5 + 6x Solving 15 + 8x = -5 + 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 + 8x + -6x = -5 + 6x + -6x Combine like terms: 8x + -6x = 2x 15 + 2x = -5 + 6x + -6x Combine like terms: 6x + -6x = 0 15 + 2x = -5 + 0 15 + 2x = -5 Add '-15' to each side of the equation. 15 + -15 + 2x = -5 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = -5 + -15 2x = -5 + -15 Combine like terms: -5 + -15 = -20 2x = -20 Divide each side by '2'. x = -10 Simplifying x = -10
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