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Simplifying 12x + -8 + -10x = -2(4 + -7x) Reorder the terms: -8 + 12x + -10x = -2(4 + -7x) Combine like terms: 12x + -10x = 2x -8 + 2x = -2(4 + -7x) -8 + 2x = (4 * -2 + -7x * -2) -8 + 2x = (-8 + 14x) Add '8' to each side of the equation. -8 + 8 + 2x = -8 + 8 + 14x Combine like terms: -8 + 8 = 0 0 + 2x = -8 + 8 + 14x 2x = -8 + 8 + 14x Combine like terms: -8 + 8 = 0 2x = 0 + 14x 2x = 14x Solving 2x = 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 2x + -14x = 14x + -14x Combine like terms: 2x + -14x = -12x -12x = 14x + -14x Combine like terms: 14x + -14x = 0 -12x = 0 Divide each side by '-12'. x = 0 Simplifying x = 0
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