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Simplifying -30 + 10x + -1[2x + 2 + -1(5x + 8)] + -15 = 0 Reorder the terms: -30 + 10x + -1[2x + 2 + -1(8 + 5x)] + -15 = 0 -30 + 10x + -1[2x + 2 + (8 * -1 + 5x * -1)] + -15 = 0 -30 + 10x + -1[2x + 2 + (-8 + -5x)] + -15 = 0 Reorder the terms: -30 + 10x + -1[2 + -8 + 2x + -5x] + -15 = 0 Combine like terms: 2 + -8 = -6 -30 + 10x + -1[-6 + 2x + -5x] + -15 = 0 Combine like terms: 2x + -5x = -3x -30 + 10x + -1[-6 + -3x] + -15 = 0 -30 + 10x + [-6 * -1 + -3x * -1] + -15 = 0 -30 + 10x + [6 + 3x] + -15 = 0 Reorder the terms: -30 + 6 + -15 + 10x + 3x = 0 Combine like terms: -30 + 6 = -24 -24 + -15 + 10x + 3x = 0 Combine like terms: -24 + -15 = -39 -39 + 10x + 3x = 0 Combine like terms: 10x + 3x = 13x -39 + 13x = 0 Solving -39 + 13x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '39' to each side of the equation. -39 + 39 + 13x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + 13x = 0 + 39 13x = 0 + 39 Combine like terms: 0 + 39 = 39 13x = 39 Divide each side by '13'. x = 3 Simplifying x = 3
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