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Simplifying 3(x + -2) + -1x = 2(2x + 1) + 8 Reorder the terms: 3(-2 + x) + -1x = 2(2x + 1) + 8 (-2 * 3 + x * 3) + -1x = 2(2x + 1) + 8 (-6 + 3x) + -1x = 2(2x + 1) + 8 Combine like terms: 3x + -1x = 2x -6 + 2x = 2(2x + 1) + 8 Reorder the terms: -6 + 2x = 2(1 + 2x) + 8 -6 + 2x = (1 * 2 + 2x * 2) + 8 -6 + 2x = (2 + 4x) + 8 Reorder the terms: -6 + 2x = 2 + 8 + 4x Combine like terms: 2 + 8 = 10 -6 + 2x = 10 + 4x Solving -6 + 2x = 10 + 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 + 2x + -4x = 10 + 4x + -4x Combine like terms: 2x + -4x = -2x -6 + -2x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -2x = 10 + 0 -6 + -2x = 10 Add '6' to each side of the equation. -6 + 6 + -2x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -2x = 10 + 6 -2x = 10 + 6 Combine like terms: 10 + 6 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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