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Simplifying -2[7 + -1(4 + -2(1 + -1x) + 3)] = 10[4x + -2(x + -3)] -2[7 + -1(4 + (1 * -2 + -1x * -2) + 3)] = 10[4x + -2(x + -3)] -2[7 + -1(4 + (-2 + 2x) + 3)] = 10[4x + -2(x + -3)] Reorder the terms: -2[7 + -1(4 + -2 + 3 + 2x)] = 10[4x + -2(x + -3)] Combine like terms: 4 + -2 = 2 -2[7 + -1(2 + 3 + 2x)] = 10[4x + -2(x + -3)] Combine like terms: 2 + 3 = 5 -2[7 + -1(5 + 2x)] = 10[4x + -2(x + -3)] -2[7 + (5 * -1 + 2x * -1)] = 10[4x + -2(x + -3)] -2[7 + (-5 + -2x)] = 10[4x + -2(x + -3)] Combine like terms: 7 + -5 = 2 -2[2 + -2x] = 10[4x + -2(x + -3)] [2 * -2 + -2x * -2] = 10[4x + -2(x + -3)] [-4 + 4x] = 10[4x + -2(x + -3)] Reorder the terms: -4 + 4x = 10[4x + -2(-3 + x)] -4 + 4x = 10[4x + (-3 * -2 + x * -2)] -4 + 4x = 10[4x + (6 + -2x)] Reorder the terms: -4 + 4x = 10[6 + 4x + -2x] Combine like terms: 4x + -2x = 2x -4 + 4x = 10[6 + 2x] -4 + 4x = [6 * 10 + 2x * 10] -4 + 4x = [60 + 20x] Solving -4 + 4x = 60 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -4 + 4x + -20x = 60 + 20x + -20x Combine like terms: 4x + -20x = -16x -4 + -16x = 60 + 20x + -20x Combine like terms: 20x + -20x = 0 -4 + -16x = 60 + 0 -4 + -16x = 60 Add '4' to each side of the equation. -4 + 4 + -16x = 60 + 4 Combine like terms: -4 + 4 = 0 0 + -16x = 60 + 4 -16x = 60 + 4 Combine like terms: 60 + 4 = 64 -16x = 64 Divide each side by '-16'. x = -4 Simplifying x = -4
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