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Simplifying 2[4 + -2(3 + -1x)] + -1 = 4[2(x + -3) + 7] + -25 2[4 + (3 * -2 + -1x * -2)] + -1 = 4[2(x + -3) + 7] + -25 2[4 + (-6 + 2x)] + -1 = 4[2(x + -3) + 7] + -25 Combine like terms: 4 + -6 = -2 2[-2 + 2x] + -1 = 4[2(x + -3) + 7] + -25 [-2 * 2 + 2x * 2] + -1 = 4[2(x + -3) + 7] + -25 [-4 + 4x] + -1 = 4[2(x + -3) + 7] + -25 Reorder the terms: -4 + -1 + 4x = 4[2(x + -3) + 7] + -25 Combine like terms: -4 + -1 = -5 -5 + 4x = 4[2(x + -3) + 7] + -25 Reorder the terms: -5 + 4x = 4[2(-3 + x) + 7] + -25 -5 + 4x = 4[(-3 * 2 + x * 2) + 7] + -25 -5 + 4x = 4[(-6 + 2x) + 7] + -25 Reorder the terms: -5 + 4x = 4[-6 + 7 + 2x] + -25 Combine like terms: -6 + 7 = 1 -5 + 4x = 4[1 + 2x] + -25 -5 + 4x = [1 * 4 + 2x * 4] + -25 -5 + 4x = [4 + 8x] + -25 Reorder the terms: -5 + 4x = 4 + -25 + 8x Combine like terms: 4 + -25 = -21 -5 + 4x = -21 + 8x Solving -5 + 4x = -21 + 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. -5 + 4x + -8x = -21 + 8x + -8x Combine like terms: 4x + -8x = -4x -5 + -4x = -21 + 8x + -8x Combine like terms: 8x + -8x = 0 -5 + -4x = -21 + 0 -5 + -4x = -21 Add '5' to each side of the equation. -5 + 5 + -4x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = -21 + 5 -4x = -21 + 5 Combine like terms: -21 + 5 = -16 -4x = -16 Divide each side by '-4'. x = 4 Simplifying x = 4
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