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Simplifying 2(1 + -4x) + -1 = x + -2(2 + -3x) (1 * 2 + -4x * 2) + -1 = x + -2(2 + -3x) (2 + -8x) + -1 = x + -2(2 + -3x) Reorder the terms: 2 + -1 + -8x = x + -2(2 + -3x) Combine like terms: 2 + -1 = 1 1 + -8x = x + -2(2 + -3x) 1 + -8x = x + (2 * -2 + -3x * -2) 1 + -8x = x + (-4 + 6x) Reorder the terms: 1 + -8x = -4 + x + 6x Combine like terms: x + 6x = 7x 1 + -8x = -4 + 7x Solving 1 + -8x = -4 + 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. 1 + -8x + -7x = -4 + 7x + -7x Combine like terms: -8x + -7x = -15x 1 + -15x = -4 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -15x = -4 + 0 1 + -15x = -4 Add '-1' to each side of the equation. 1 + -1 + -15x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -15x = -4 + -1 -15x = -4 + -1 Combine like terms: -4 + -1 = -5 -15x = -5 Divide each side by '-15'. x = 0.3333333333 Simplifying x = 0.3333333333
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