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Simplifying 3(2x + -1) = 4(3x + -7) Reorder the terms: 3(-1 + 2x) = 4(3x + -7) (-1 * 3 + 2x * 3) = 4(3x + -7) (-3 + 6x) = 4(3x + -7) Reorder the terms: -3 + 6x = 4(-7 + 3x) -3 + 6x = (-7 * 4 + 3x * 4) -3 + 6x = (-28 + 12x) Solving -3 + 6x = -28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -3 + 6x + -12x = -28 + 12x + -12x Combine like terms: 6x + -12x = -6x -3 + -6x = -28 + 12x + -12x Combine like terms: 12x + -12x = 0 -3 + -6x = -28 + 0 -3 + -6x = -28 Add '3' to each side of the equation. -3 + 3 + -6x = -28 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -28 + 3 -6x = -28 + 3 Combine like terms: -28 + 3 = -25 -6x = -25 Divide each side by '-6'. x = 4.166666667 Simplifying x = 4.166666667
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