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Simplifying 2(3x + 5) + -3(1 + -2x) = 5x + -7 Reorder the terms: 2(5 + 3x) + -3(1 + -2x) = 5x + -7 (5 * 2 + 3x * 2) + -3(1 + -2x) = 5x + -7 (10 + 6x) + -3(1 + -2x) = 5x + -7 10 + 6x + (1 * -3 + -2x * -3) = 5x + -7 10 + 6x + (-3 + 6x) = 5x + -7 Reorder the terms: 10 + -3 + 6x + 6x = 5x + -7 Combine like terms: 10 + -3 = 7 7 + 6x + 6x = 5x + -7 Combine like terms: 6x + 6x = 12x 7 + 12x = 5x + -7 Reorder the terms: 7 + 12x = -7 + 5x Solving 7 + 12x = -7 + 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. 7 + 12x + -5x = -7 + 5x + -5x Combine like terms: 12x + -5x = 7x 7 + 7x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + 7x = -7 + 0 7 + 7x = -7 Add '-7' to each side of the equation. 7 + -7 + 7x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = -7 + -7 7x = -7 + -7 Combine like terms: -7 + -7 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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