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Simplifying 2[3x + -2(1 + -1x)] = 3(8x + -2) + -2(5x + 1) 2[3x + (1 * -2 + -1x * -2)] = 3(8x + -2) + -2(5x + 1) 2[3x + (-2 + 2x)] = 3(8x + -2) + -2(5x + 1) Reorder the terms: 2[-2 + 3x + 2x] = 3(8x + -2) + -2(5x + 1) Combine like terms: 3x + 2x = 5x 2[-2 + 5x] = 3(8x + -2) + -2(5x + 1) [-2 * 2 + 5x * 2] = 3(8x + -2) + -2(5x + 1) [-4 + 10x] = 3(8x + -2) + -2(5x + 1) Reorder the terms: -4 + 10x = 3(-2 + 8x) + -2(5x + 1) -4 + 10x = (-2 * 3 + 8x * 3) + -2(5x + 1) -4 + 10x = (-6 + 24x) + -2(5x + 1) Reorder the terms: -4 + 10x = -6 + 24x + -2(1 + 5x) -4 + 10x = -6 + 24x + (1 * -2 + 5x * -2) -4 + 10x = -6 + 24x + (-2 + -10x) Reorder the terms: -4 + 10x = -6 + -2 + 24x + -10x Combine like terms: -6 + -2 = -8 -4 + 10x = -8 + 24x + -10x Combine like terms: 24x + -10x = 14x -4 + 10x = -8 + 14x Solving -4 + 10x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -4 + 10x + -14x = -8 + 14x + -14x Combine like terms: 10x + -14x = -4x -4 + -4x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -4 + -4x = -8 + 0 -4 + -4x = -8 Add '4' to each side of the equation. -4 + 4 + -4x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -4x = -8 + 4 -4x = -8 + 4 Combine like terms: -8 + 4 = -4 -4x = -4 Divide each side by '-4'. x = 1 Simplifying x = 1
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