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