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