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Simplifying 2[4 + -2(3 + -1x)] + -1 = 4[2(4x + -3) + 7] 2[4 + (3 * -2 + -1x * -2)] + -1 = 4[2(4x + -3) + 7] 2[4 + (-6 + 2x)] + -1 = 4[2(4x + -3) + 7] Combine like terms: 4 + -6 = -2 2[-2 + 2x] + -1 = 4[2(4x + -3) + 7] [-2 * 2 + 2x * 2] + -1 = 4[2(4x + -3) + 7] [-4 + 4x] + -1 = 4[2(4x + -3) + 7] Reorder the terms: -4 + -1 + 4x = 4[2(4x + -3) + 7] Combine like terms: -4 + -1 = -5 -5 + 4x = 4[2(4x + -3) + 7] Reorder the terms: -5 + 4x = 4[2(-3 + 4x) + 7] -5 + 4x = 4[(-3 * 2 + 4x * 2) + 7] -5 + 4x = 4[(-6 + 8x) + 7] Reorder the terms: -5 + 4x = 4[-6 + 7 + 8x] Combine like terms: -6 + 7 = 1 -5 + 4x = 4[1 + 8x] -5 + 4x = [1 * 4 + 8x * 4] -5 + 4x = [4 + 32x] Solving -5 + 4x = 4 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -5 + 4x + -32x = 4 + 32x + -32x Combine like terms: 4x + -32x = -28x -5 + -28x = 4 + 32x + -32x Combine like terms: 32x + -32x = 0 -5 + -28x = 4 + 0 -5 + -28x = 4 Add '5' to each side of the equation. -5 + 5 + -28x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + -28x = 4 + 5 -28x = 4 + 5 Combine like terms: 4 + 5 = 9 -28x = 9 Divide each side by '-28'. x = -0.3214285714 Simplifying x = -0.3214285714
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