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Simplifying -1[4x + (6x + 3)] = 6 + -1(8x + 8) Reorder the terms: -1[4x + (3 + 6x)] = 6 + -1(8x + 8) Remove parenthesis around (3 + 6x) -1[4x + 3 + 6x] = 6 + -1(8x + 8) Reorder the terms: -1[3 + 4x + 6x] = 6 + -1(8x + 8) Combine like terms: 4x + 6x = 10x -1[3 + 10x] = 6 + -1(8x + 8) [3 * -1 + 10x * -1] = 6 + -1(8x + 8) [-3 + -10x] = 6 + -1(8x + 8) Reorder the terms: -3 + -10x = 6 + -1(8 + 8x) -3 + -10x = 6 + (8 * -1 + 8x * -1) -3 + -10x = 6 + (-8 + -8x) Combine like terms: 6 + -8 = -2 -3 + -10x = -2 + -8x Solving -3 + -10x = -2 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -3 + -10x + 8x = -2 + -8x + 8x Combine like terms: -10x + 8x = -2x -3 + -2x = -2 + -8x + 8x Combine like terms: -8x + 8x = 0 -3 + -2x = -2 + 0 -3 + -2x = -2 Add '3' to each side of the equation. -3 + 3 + -2x = -2 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -2 + 3 -2x = -2 + 3 Combine like terms: -2 + 3 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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