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Simplifying 6(x + -1) = 8 + -2[4 + -2(x + 1)] Reorder the terms: 6(-1 + x) = 8 + -2[4 + -2(x + 1)] (-1 * 6 + x * 6) = 8 + -2[4 + -2(x + 1)] (-6 + 6x) = 8 + -2[4 + -2(x + 1)] Reorder the terms: -6 + 6x = 8 + -2[4 + -2(1 + x)] -6 + 6x = 8 + -2[4 + (1 * -2 + x * -2)] -6 + 6x = 8 + -2[4 + (-2 + -2x)] Combine like terms: 4 + -2 = 2 -6 + 6x = 8 + -2[2 + -2x] -6 + 6x = 8 + [2 * -2 + -2x * -2] -6 + 6x = 8 + [-4 + 4x] Combine like terms: 8 + -4 = 4 -6 + 6x = 4 + 4x Solving -6 + 6x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -6 + 6x + -4x = 4 + 4x + -4x Combine like terms: 6x + -4x = 2x -6 + 2x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 2x = 4 + 0 -6 + 2x = 4 Add '6' to each side of the equation. -6 + 6 + 2x = 4 + 6 Combine like terms: -6 + 6 = 0 0 + 2x = 4 + 6 2x = 4 + 6 Combine like terms: 4 + 6 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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