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Simplifying -1[2x + (8x + 4)] = 7 + -1(2x + 3) Reorder the terms: -1[2x + (4 + 8x)] = 7 + -1(2x + 3) Remove parenthesis around (4 + 8x) -1[2x + 4 + 8x] = 7 + -1(2x + 3) Reorder the terms: -1[4 + 2x + 8x] = 7 + -1(2x + 3) Combine like terms: 2x + 8x = 10x -1[4 + 10x] = 7 + -1(2x + 3) [4 * -1 + 10x * -1] = 7 + -1(2x + 3) [-4 + -10x] = 7 + -1(2x + 3) Reorder the terms: -4 + -10x = 7 + -1(3 + 2x) -4 + -10x = 7 + (3 * -1 + 2x * -1) -4 + -10x = 7 + (-3 + -2x) Combine like terms: 7 + -3 = 4 -4 + -10x = 4 + -2x Solving -4 + -10x = 4 + -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. -4 + -10x + 2x = 4 + -2x + 2x Combine like terms: -10x + 2x = -8x -4 + -8x = 4 + -2x + 2x Combine like terms: -2x + 2x = 0 -4 + -8x = 4 + 0 -4 + -8x = 4 Add '4' to each side of the equation. -4 + 4 + -8x = 4 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 4 + 4 -8x = 4 + 4 Combine like terms: 4 + 4 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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