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Simplifying (x + -1) * 2 + -6x = x + 1 Reorder the terms: (-1 + x) * 2 + -6x = x + 1 Reorder the terms for easier multiplication: 2(-1 + x) + -6x = x + 1 (-1 * 2 + x * 2) + -6x = x + 1 (-2 + 2x) + -6x = x + 1 Combine like terms: 2x + -6x = -4x -2 + -4x = x + 1 Reorder the terms: -2 + -4x = 1 + x Solving -2 + -4x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -2 + -4x + -1x = 1 + x + -1x Combine like terms: -4x + -1x = -5x -2 + -5x = 1 + x + -1x Combine like terms: x + -1x = 0 -2 + -5x = 1 + 0 -2 + -5x = 1 Add '2' to each side of the equation. -2 + 2 + -5x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 1 + 2 -5x = 1 + 2 Combine like terms: 1 + 2 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6
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