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