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Simplifying -1[7x + (2x + 2)] = 7 + -1(4x + 6) Reorder the terms: -1[7x + (2 + 2x)] = 7 + -1(4x + 6) Remove parenthesis around (2 + 2x) -1[7x + 2 + 2x] = 7 + -1(4x + 6) Reorder the terms: -1[2 + 7x + 2x] = 7 + -1(4x + 6) Combine like terms: 7x + 2x = 9x -1[2 + 9x] = 7 + -1(4x + 6) [2 * -1 + 9x * -1] = 7 + -1(4x + 6) [-2 + -9x] = 7 + -1(4x + 6) Reorder the terms: -2 + -9x = 7 + -1(6 + 4x) -2 + -9x = 7 + (6 * -1 + 4x * -1) -2 + -9x = 7 + (-6 + -4x) Combine like terms: 7 + -6 = 1 -2 + -9x = 1 + -4x Solving -2 + -9x = 1 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + -9x + 4x = 1 + -4x + 4x Combine like terms: -9x + 4x = -5x -2 + -5x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + -5x = 1 + 0 -2 + -5x = 1 Add '2' to each side of the equation. -2 + 2 + -5x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 1 + 2 -5x = 1 + 2 Combine like terms: 1 + 2 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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