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Simplifying (5x * 2 + 6x + -1) + -1(5x * 2 + 8) = 15 Reorder the terms for easier multiplication: (5 * 2x + 6x + -1) + -1(5x * 2 + 8) = 15 Multiply 5 * 2 (10x + 6x + -1) + -1(5x * 2 + 8) = 15 Reorder the terms: (-1 + 10x + 6x) + -1(5x * 2 + 8) = 15 Combine like terms: 10x + 6x = 16x (-1 + 16x) + -1(5x * 2 + 8) = 15 Remove parenthesis around (-1 + 16x) -1 + 16x + -1(5x * 2 + 8) = 15 Reorder the terms for easier multiplication: -1 + 16x + -1(5 * 2x + 8) = 15 Multiply 5 * 2 -1 + 16x + -1(10x + 8) = 15 Reorder the terms: -1 + 16x + -1(8 + 10x) = 15 -1 + 16x + (8 * -1 + 10x * -1) = 15 -1 + 16x + (-8 + -10x) = 15 Reorder the terms: -1 + -8 + 16x + -10x = 15 Combine like terms: -1 + -8 = -9 -9 + 16x + -10x = 15 Combine like terms: 16x + -10x = 6x -9 + 6x = 15 Solving -9 + 6x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 6x = 15 + 9 Combine like terms: -9 + 9 = 0 0 + 6x = 15 + 9 6x = 15 + 9 Combine like terms: 15 + 9 = 24 6x = 24 Divide each side by '6'. x = 4 Simplifying x = 4
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