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Simplifying 2(4x + -3) = -2(1 + -7x) Reorder the terms: 2(-3 + 4x) = -2(1 + -7x) (-3 * 2 + 4x * 2) = -2(1 + -7x) (-6 + 8x) = -2(1 + -7x) -6 + 8x = (1 * -2 + -7x * -2) -6 + 8x = (-2 + 14x) Solving -6 + 8x = -2 + 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. -6 + 8x + -14x = -2 + 14x + -14x Combine like terms: 8x + -14x = -6x -6 + -6x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 -6 + -6x = -2 + 0 -6 + -6x = -2 Add '6' to each side of the equation. -6 + 6 + -6x = -2 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -2 + 6 -6x = -2 + 6 Combine like terms: -2 + 6 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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