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Simplifying 3(-1x + -2) = 2x + 2(4 + x) Reorder the terms: 3(-2 + -1x) = 2x + 2(4 + x) (-2 * 3 + -1x * 3) = 2x + 2(4 + x) (-6 + -3x) = 2x + 2(4 + x) -6 + -3x = 2x + (4 * 2 + x * 2) -6 + -3x = 2x + (8 + 2x) Reorder the terms: -6 + -3x = 8 + 2x + 2x Combine like terms: 2x + 2x = 4x -6 + -3x = 8 + 4x Solving -6 + -3x = 8 + 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 + -3x + -4x = 8 + 4x + -4x Combine like terms: -3x + -4x = -7x -6 + -7x = 8 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -7x = 8 + 0 -6 + -7x = 8 Add '6' to each side of the equation. -6 + 6 + -7x = 8 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 8 + 6 -7x = 8 + 6 Combine like terms: 8 + 6 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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