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Simplifying -1[7x + -1(10x + 1)] = 1 + (2x + 5) Reorder the terms: -1[7x + -1(1 + 10x)] = 1 + (2x + 5) -1[7x + (1 * -1 + 10x * -1)] = 1 + (2x + 5) -1[7x + (-1 + -10x)] = 1 + (2x + 5) Reorder the terms: -1[-1 + 7x + -10x] = 1 + (2x + 5) Combine like terms: 7x + -10x = -3x -1[-1 + -3x] = 1 + (2x + 5) [-1 * -1 + -3x * -1] = 1 + (2x + 5) [1 + 3x] = 1 + (2x + 5) Reorder the terms: 1 + 3x = 1 + (5 + 2x) Remove parenthesis around (5 + 2x) 1 + 3x = 1 + 5 + 2x Combine like terms: 1 + 5 = 6 1 + 3x = 6 + 2x Solving 1 + 3x = 6 + 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 + 3x + -2x = 6 + 2x + -2x Combine like terms: 3x + -2x = 1x 1 + 1x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 1x = 6 + 0 1 + 1x = 6 Add '-1' to each side of the equation. 1 + -1 + 1x = 6 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 6 + -1 1x = 6 + -1 Combine like terms: 6 + -1 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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