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Simplifying x = 2(4x + -2) + 2(3x + 7) Reorder the terms: x = 2(-2 + 4x) + 2(3x + 7) x = (-2 * 2 + 4x * 2) + 2(3x + 7) x = (-4 + 8x) + 2(3x + 7) Reorder the terms: x = -4 + 8x + 2(7 + 3x) x = -4 + 8x + (7 * 2 + 3x * 2) x = -4 + 8x + (14 + 6x) Reorder the terms: x = -4 + 14 + 8x + 6x Combine like terms: -4 + 14 = 10 x = 10 + 8x + 6x Combine like terms: 8x + 6x = 14x x = 10 + 14x Solving x = 10 + 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. x + -14x = 10 + 14x + -14x Combine like terms: x + -14x = -13x -13x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 -13x = 10 + 0 -13x = 10 Divide each side by '-13'. x = -0.7692307692 Simplifying x = -0.7692307692
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