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Simplifying 4x + 2(2x + -6) = 2 + -6x Reorder the terms: 4x + 2(-6 + 2x) = 2 + -6x 4x + (-6 * 2 + 2x * 2) = 2 + -6x 4x + (-12 + 4x) = 2 + -6x Reorder the terms: -12 + 4x + 4x = 2 + -6x Combine like terms: 4x + 4x = 8x -12 + 8x = 2 + -6x Solving -12 + 8x = 2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -12 + 8x + 6x = 2 + -6x + 6x Combine like terms: 8x + 6x = 14x -12 + 14x = 2 + -6x + 6x Combine like terms: -6x + 6x = 0 -12 + 14x = 2 + 0 -12 + 14x = 2 Add '12' to each side of the equation. -12 + 12 + 14x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 14x = 2 + 12 14x = 2 + 12 Combine like terms: 2 + 12 = 14 14x = 14 Divide each side by '14'. x = 1 Simplifying x = 1
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