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Simplifying 1 + -5(x + 2) + 7x = 1 + -8x Reorder the terms: 1 + -5(2 + x) + 7x = 1 + -8x 1 + (2 * -5 + x * -5) + 7x = 1 + -8x 1 + (-10 + -5x) + 7x = 1 + -8x Combine like terms: 1 + -10 = -9 -9 + -5x + 7x = 1 + -8x Combine like terms: -5x + 7x = 2x -9 + 2x = 1 + -8x Solving -9 + 2x = 1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -9 + 2x + 8x = 1 + -8x + 8x Combine like terms: 2x + 8x = 10x -9 + 10x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 -9 + 10x = 1 + 0 -9 + 10x = 1 Add '9' to each side of the equation. -9 + 9 + 10x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 10x = 1 + 9 10x = 1 + 9 Combine like terms: 1 + 9 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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