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Simplifying 2(6 + -7x) = 2x + -4 (6 * 2 + -7x * 2) = 2x + -4 (12 + -14x) = 2x + -4 Reorder the terms: 12 + -14x = -4 + 2x Solving 12 + -14x = -4 + 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. 12 + -14x + -2x = -4 + 2x + -2x Combine like terms: -14x + -2x = -16x 12 + -16x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + -16x = -4 + 0 12 + -16x = -4 Add '-12' to each side of the equation. 12 + -12 + -16x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -16x = -4 + -12 -16x = -4 + -12 Combine like terms: -4 + -12 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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