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Simplifying -1[4x + (2x + 1)] = 9 + -1(7x + 3) Reorder the terms: -1[4x + (1 + 2x)] = 9 + -1(7x + 3) Remove parenthesis around (1 + 2x) -1[4x + 1 + 2x] = 9 + -1(7x + 3) Reorder the terms: -1[1 + 4x + 2x] = 9 + -1(7x + 3) Combine like terms: 4x + 2x = 6x -1[1 + 6x] = 9 + -1(7x + 3) [1 * -1 + 6x * -1] = 9 + -1(7x + 3) [-1 + -6x] = 9 + -1(7x + 3) Reorder the terms: -1 + -6x = 9 + -1(3 + 7x) -1 + -6x = 9 + (3 * -1 + 7x * -1) -1 + -6x = 9 + (-3 + -7x) Combine like terms: 9 + -3 = 6 -1 + -6x = 6 + -7x Solving -1 + -6x = 6 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -1 + -6x + 7x = 6 + -7x + 7x Combine like terms: -6x + 7x = 1x -1 + 1x = 6 + -7x + 7x Combine like terms: -7x + 7x = 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 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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