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Simplifying 3x + -1(x + 1) = 6x + 1 Reorder the terms: 3x + -1(1 + x) = 6x + 1 3x + (1 * -1 + x * -1) = 6x + 1 3x + (-1 + -1x) = 6x + 1 Reorder the terms: -1 + 3x + -1x = 6x + 1 Combine like terms: 3x + -1x = 2x -1 + 2x = 6x + 1 Reorder the terms: -1 + 2x = 1 + 6x Solving -1 + 2x = 1 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -1 + 2x + -6x = 1 + 6x + -6x Combine like terms: 2x + -6x = -4x -1 + -4x = 1 + 6x + -6x Combine like terms: 6x + -6x = 0 -1 + -4x = 1 + 0 -1 + -4x = 1 Add '1' to each side of the equation. -1 + 1 + -4x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 1 + 1 -4x = 1 + 1 Combine like terms: 1 + 1 = 2 -4x = 2 Divide each side by '-4'. x = -0.5 Simplifying x = -0.5
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