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Simplifying 6(x + -1) + -1x = -2(x + 1) + x + -1 Reorder the terms: 6(-1 + x) + -1x = -2(x + 1) + x + -1 (-1 * 6 + x * 6) + -1x = -2(x + 1) + x + -1 (-6 + 6x) + -1x = -2(x + 1) + x + -1 Combine like terms: 6x + -1x = 5x -6 + 5x = -2(x + 1) + x + -1 Reorder the terms: -6 + 5x = -2(1 + x) + x + -1 -6 + 5x = (1 * -2 + x * -2) + x + -1 -6 + 5x = (-2 + -2x) + x + -1 Reorder the terms: -6 + 5x = -2 + -1 + -2x + x Combine like terms: -2 + -1 = -3 -6 + 5x = -3 + -2x + x Combine like terms: -2x + x = -1x -6 + 5x = -3 + -1x Solving -6 + 5x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + 5x + x = -3 + -1x + x Combine like terms: 5x + x = 6x -6 + 6x = -3 + -1x + x Combine like terms: -1x + x = 0 -6 + 6x = -3 + 0 -6 + 6x = -3 Add '6' to each side of the equation. -6 + 6 + 6x = -3 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -3 + 6 6x = -3 + 6 Combine like terms: -3 + 6 = 3 6x = 3 Divide each side by '6'. x = 0.5 Simplifying x = 0.5
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