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Simplifying 3(x + -1) = 7(2x + 4) Reorder the terms: 3(-1 + x) = 7(2x + 4) (-1 * 3 + x * 3) = 7(2x + 4) (-3 + 3x) = 7(2x + 4) Reorder the terms: -3 + 3x = 7(4 + 2x) -3 + 3x = (4 * 7 + 2x * 7) -3 + 3x = (28 + 14x) Solving -3 + 3x = 28 + 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. -3 + 3x + -14x = 28 + 14x + -14x Combine like terms: 3x + -14x = -11x -3 + -11x = 28 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + -11x = 28 + 0 -3 + -11x = 28 Add '3' to each side of the equation. -3 + 3 + -11x = 28 + 3 Combine like terms: -3 + 3 = 0 0 + -11x = 28 + 3 -11x = 28 + 3 Combine like terms: 28 + 3 = 31 -11x = 31 Divide each side by '-11'. x = -2.818181818 Simplifying x = -2.818181818
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