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Simplifying -5[2 + -1(x + -5)] = -2 + -3[2 + -4(x + 1)] + 3 Reorder the terms: -5[2 + -1(-5 + x)] = -2 + -3[2 + -4(x + 1)] + 3 -5[2 + (-5 * -1 + x * -1)] = -2 + -3[2 + -4(x + 1)] + 3 -5[2 + (5 + -1x)] = -2 + -3[2 + -4(x + 1)] + 3 Combine like terms: 2 + 5 = 7 -5[7 + -1x] = -2 + -3[2 + -4(x + 1)] + 3 [7 * -5 + -1x * -5] = -2 + -3[2 + -4(x + 1)] + 3 [-35 + 5x] = -2 + -3[2 + -4(x + 1)] + 3 Reorder the terms: -35 + 5x = -2 + -3[2 + -4(1 + x)] + 3 -35 + 5x = -2 + -3[2 + (1 * -4 + x * -4)] + 3 -35 + 5x = -2 + -3[2 + (-4 + -4x)] + 3 Combine like terms: 2 + -4 = -2 -35 + 5x = -2 + -3[-2 + -4x] + 3 -35 + 5x = -2 + [-2 * -3 + -4x * -3] + 3 -35 + 5x = -2 + [6 + 12x] + 3 Reorder the terms: -35 + 5x = -2 + 6 + 3 + 12x Combine like terms: -2 + 6 = 4 -35 + 5x = 4 + 3 + 12x Combine like terms: 4 + 3 = 7 -35 + 5x = 7 + 12x Solving -35 + 5x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -35 + 5x + -12x = 7 + 12x + -12x Combine like terms: 5x + -12x = -7x -35 + -7x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -35 + -7x = 7 + 0 -35 + -7x = 7 Add '35' to each side of the equation. -35 + 35 + -7x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + -7x = 7 + 35 -7x = 7 + 35 Combine like terms: 7 + 35 = 42 -7x = 42 Divide each side by '-7'. x = -6 Simplifying x = -6
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