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Simplifying -2(6 + -7x) + -2(1 + 3x) = 3 + -3x + -6 (6 * -2 + -7x * -2) + -2(1 + 3x) = 3 + -3x + -6 (-12 + 14x) + -2(1 + 3x) = 3 + -3x + -6 -12 + 14x + (1 * -2 + 3x * -2) = 3 + -3x + -6 -12 + 14x + (-2 + -6x) = 3 + -3x + -6 Reorder the terms: -12 + -2 + 14x + -6x = 3 + -3x + -6 Combine like terms: -12 + -2 = -14 -14 + 14x + -6x = 3 + -3x + -6 Combine like terms: 14x + -6x = 8x -14 + 8x = 3 + -3x + -6 Reorder the terms: -14 + 8x = 3 + -6 + -3x Combine like terms: 3 + -6 = -3 -14 + 8x = -3 + -3x Solving -14 + 8x = -3 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -14 + 8x + 3x = -3 + -3x + 3x Combine like terms: 8x + 3x = 11x -14 + 11x = -3 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 11x = -3 + 0 -14 + 11x = -3 Add '14' to each side of the equation. -14 + 14 + 11x = -3 + 14 Combine like terms: -14 + 14 = 0 0 + 11x = -3 + 14 11x = -3 + 14 Combine like terms: -3 + 14 = 11 11x = 11 Divide each side by '11'. x = 1 Simplifying x = 1
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