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Simplifying 2[3x + -1(4x + -1)] = 8x Reorder the terms: 2[3x + -1(-1 + 4x)] = 8x 2[3x + (-1 * -1 + 4x * -1)] = 8x 2[3x + (1 + -4x)] = 8x Reorder the terms: 2[1 + 3x + -4x] = 8x Combine like terms: 3x + -4x = -1x 2[1 + -1x] = 8x [1 * 2 + -1x * 2] = 8x [2 + -2x] = 8x Solving 2 + -2x = 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. 2 + -2x + -8x = 8x + -8x Combine like terms: -2x + -8x = -10x 2 + -10x = 8x + -8x Combine like terms: 8x + -8x = 0 2 + -10x = 0 Add '-2' to each side of the equation. 2 + -2 + -10x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 0 + -2 -10x = 0 + -2 Combine like terms: 0 + -2 = -2 -10x = -2 Divide each side by '-10'. x = 0.2 Simplifying x = 0.2
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