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Simplifying 7(2x + -1) = -4(6 + -2x) Reorder the terms: 7(-1 + 2x) = -4(6 + -2x) (-1 * 7 + 2x * 7) = -4(6 + -2x) (-7 + 14x) = -4(6 + -2x) -7 + 14x = (6 * -4 + -2x * -4) -7 + 14x = (-24 + 8x) Solving -7 + 14x = -24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -7 + 14x + -8x = -24 + 8x + -8x Combine like terms: 14x + -8x = 6x -7 + 6x = -24 + 8x + -8x Combine like terms: 8x + -8x = 0 -7 + 6x = -24 + 0 -7 + 6x = -24 Add '7' to each side of the equation. -7 + 7 + 6x = -24 + 7 Combine like terms: -7 + 7 = 0 0 + 6x = -24 + 7 6x = -24 + 7 Combine like terms: -24 + 7 = -17 6x = -17 Divide each side by '6'. x = -2.833333333 Simplifying x = -2.833333333
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