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