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Simplifying 3x + -1[5 + -2(1 + -2x)] = 7x + -5 3x + -1[5 + (1 * -2 + -2x * -2)] = 7x + -5 3x + -1[5 + (-2 + 4x)] = 7x + -5 Combine like terms: 5 + -2 = 3 3x + -1[3 + 4x] = 7x + -5 3x + [3 * -1 + 4x * -1] = 7x + -5 3x + [-3 + -4x] = 7x + -5 Reorder the terms: -3 + 3x + -4x = 7x + -5 Combine like terms: 3x + -4x = -1x -3 + -1x = 7x + -5 Reorder the terms: -3 + -1x = -5 + 7x Solving -3 + -1x = -5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -3 + -1x + -7x = -5 + 7x + -7x Combine like terms: -1x + -7x = -8x -3 + -8x = -5 + 7x + -7x Combine like terms: 7x + -7x = 0 -3 + -8x = -5 + 0 -3 + -8x = -5 Add '3' to each side of the equation. -3 + 3 + -8x = -5 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = -5 + 3 -8x = -5 + 3 Combine like terms: -5 + 3 = -2 -8x = -2 Divide each side by '-8'. x = 0.25 Simplifying x = 0.25
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