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Simplifying 8x + -1(1 + -6x) = 10x + 15 8x + (1 * -1 + -6x * -1) = 10x + 15 8x + (-1 + 6x) = 10x + 15 Reorder the terms: -1 + 8x + 6x = 10x + 15 Combine like terms: 8x + 6x = 14x -1 + 14x = 10x + 15 Reorder the terms: -1 + 14x = 15 + 10x Solving -1 + 14x = 15 + 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. -1 + 14x + -10x = 15 + 10x + -10x Combine like terms: 14x + -10x = 4x -1 + 4x = 15 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + 4x = 15 + 0 -1 + 4x = 15 Add '1' to each side of the equation. -1 + 1 + 4x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 4x = 15 + 1 4x = 15 + 1 Combine like terms: 15 + 1 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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