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Simplifying 2(4x) + -1(x + -1) = 2(1 + -1x) Remove parenthesis around (4x) 2 * 4x + -1(x + -1) = 2(1 + -1x) Multiply 2 * 4 8x + -1(x + -1) = 2(1 + -1x) Reorder the terms: 8x + -1(-1 + x) = 2(1 + -1x) 8x + (-1 * -1 + x * -1) = 2(1 + -1x) 8x + (1 + -1x) = 2(1 + -1x) Reorder the terms: 1 + 8x + -1x = 2(1 + -1x) Combine like terms: 8x + -1x = 7x 1 + 7x = 2(1 + -1x) 1 + 7x = (1 * 2 + -1x * 2) 1 + 7x = (2 + -2x) Solving 1 + 7x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 1 + 7x + 2x = 2 + -2x + 2x Combine like terms: 7x + 2x = 9x 1 + 9x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 9x = 2 + 0 1 + 9x = 2 Add '-1' to each side of the equation. 1 + -1 + 9x = 2 + -1 Combine like terms: 1 + -1 = 0 0 + 9x = 2 + -1 9x = 2 + -1 Combine like terms: 2 + -1 = 1 9x = 1 Divide each side by '9'. x = 0.1111111111 Simplifying x = 0.1111111111
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