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Simplifying -1[8x + (4x + 3)] = 2 + -1(2x + 4) Reorder the terms: -1[8x + (3 + 4x)] = 2 + -1(2x + 4) Remove parenthesis around (3 + 4x) -1[8x + 3 + 4x] = 2 + -1(2x + 4) Reorder the terms: -1[3 + 8x + 4x] = 2 + -1(2x + 4) Combine like terms: 8x + 4x = 12x -1[3 + 12x] = 2 + -1(2x + 4) [3 * -1 + 12x * -1] = 2 + -1(2x + 4) [-3 + -12x] = 2 + -1(2x + 4) Reorder the terms: -3 + -12x = 2 + -1(4 + 2x) -3 + -12x = 2 + (4 * -1 + 2x * -1) -3 + -12x = 2 + (-4 + -2x) Combine like terms: 2 + -4 = -2 -3 + -12x = -2 + -2x Solving -3 + -12x = -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. -3 + -12x + 2x = -2 + -2x + 2x Combine like terms: -12x + 2x = -10x -3 + -10x = -2 + -2x + 2x Combine like terms: -2x + 2x = 0 -3 + -10x = -2 + 0 -3 + -10x = -2 Add '3' to each side of the equation. -3 + 3 + -10x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = -2 + 3 -10x = -2 + 3 Combine like terms: -2 + 3 = 1 -10x = 1 Divide each side by '-10'. x = -0.1 Simplifying x = -0.1
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