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Simplifying 5 + -2[x + -2(x + 1)] = 55 + -4[x + -3(x + 2)] Reorder the terms: 5 + -2[x + -2(1 + x)] = 55 + -4[x + -3(x + 2)] 5 + -2[x + (1 * -2 + x * -2)] = 55 + -4[x + -3(x + 2)] 5 + -2[x + (-2 + -2x)] = 55 + -4[x + -3(x + 2)] Reorder the terms: 5 + -2[-2 + x + -2x] = 55 + -4[x + -3(x + 2)] Combine like terms: x + -2x = -1x 5 + -2[-2 + -1x] = 55 + -4[x + -3(x + 2)] 5 + [-2 * -2 + -1x * -2] = 55 + -4[x + -3(x + 2)] 5 + [4 + 2x] = 55 + -4[x + -3(x + 2)] Combine like terms: 5 + 4 = 9 9 + 2x = 55 + -4[x + -3(x + 2)] Reorder the terms: 9 + 2x = 55 + -4[x + -3(2 + x)] 9 + 2x = 55 + -4[x + (2 * -3 + x * -3)] 9 + 2x = 55 + -4[x + (-6 + -3x)] Reorder the terms: 9 + 2x = 55 + -4[-6 + x + -3x] Combine like terms: x + -3x = -2x 9 + 2x = 55 + -4[-6 + -2x] 9 + 2x = 55 + [-6 * -4 + -2x * -4] 9 + 2x = 55 + [24 + 8x] Combine like terms: 55 + 24 = 79 9 + 2x = 79 + 8x Solving 9 + 2x = 79 + 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. 9 + 2x + -8x = 79 + 8x + -8x Combine like terms: 2x + -8x = -6x 9 + -6x = 79 + 8x + -8x Combine like terms: 8x + -8x = 0 9 + -6x = 79 + 0 9 + -6x = 79 Add '-9' to each side of the equation. 9 + -9 + -6x = 79 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = 79 + -9 -6x = 79 + -9 Combine like terms: 79 + -9 = 70 -6x = 70 Divide each side by '-6'. x = -11.66666667 Simplifying x = -11.66666667
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