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Simplifying 2(4 + -2(3 + -1x)) + -1 = 4(2(4x + -3) + 7) + -25 2(4 + (3 * -2 + -1x * -2)) + -1 = 4(2(4x + -3) + 7) + -25 2(4 + (-6 + 2x)) + -1 = 4(2(4x + -3) + 7) + -25 Combine like terms: 4 + -6 = -2 2(-2 + 2x) + -1 = 4(2(4x + -3) + 7) + -25 (-2 * 2 + 2x * 2) + -1 = 4(2(4x + -3) + 7) + -25 (-4 + 4x) + -1 = 4(2(4x + -3) + 7) + -25 Reorder the terms: -4 + -1 + 4x = 4(2(4x + -3) + 7) + -25 Combine like terms: -4 + -1 = -5 -5 + 4x = 4(2(4x + -3) + 7) + -25 Reorder the terms: -5 + 4x = 4(2(-3 + 4x) + 7) + -25 -5 + 4x = 4((-3 * 2 + 4x * 2) + 7) + -25 -5 + 4x = 4((-6 + 8x) + 7) + -25 Reorder the terms: -5 + 4x = 4(-6 + 7 + 8x) + -25 Combine like terms: -6 + 7 = 1 -5 + 4x = 4(1 + 8x) + -25 -5 + 4x = (1 * 4 + 8x * 4) + -25 -5 + 4x = (4 + 32x) + -25 Reorder the terms: -5 + 4x = 4 + -25 + 32x Combine like terms: 4 + -25 = -21 -5 + 4x = -21 + 32x Solving -5 + 4x = -21 + 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 = -21 + 32x + -32x Combine like terms: 4x + -32x = -28x -5 + -28x = -21 + 32x + -32x Combine like terms: 32x + -32x = 0 -5 + -28x = -21 + 0 -5 + -28x = -21 Add '5' to each side of the equation. -5 + 5 + -28x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -28x = -21 + 5 -28x = -21 + 5 Combine like terms: -21 + 5 = -16 -28x = -16 Divide each side by '-28'. x = 0.5714285714 Simplifying x = 0.5714285714
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