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Simplifying 3(4x + -1) = 7(2x + -7) Reorder the terms: 3(-1 + 4x) = 7(2x + -7) (-1 * 3 + 4x * 3) = 7(2x + -7) (-3 + 12x) = 7(2x + -7) Reorder the terms: -3 + 12x = 7(-7 + 2x) -3 + 12x = (-7 * 7 + 2x * 7) -3 + 12x = (-49 + 14x) Solving -3 + 12x = -49 + 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 + 12x + -14x = -49 + 14x + -14x Combine like terms: 12x + -14x = -2x -3 + -2x = -49 + 14x + -14x Combine like terms: 14x + -14x = 0 -3 + -2x = -49 + 0 -3 + -2x = -49 Add '3' to each side of the equation. -3 + 3 + -2x = -49 + 3 Combine like terms: -3 + 3 = 0 0 + -2x = -49 + 3 -2x = -49 + 3 Combine like terms: -49 + 3 = -46 -2x = -46 Divide each side by '-2'. x = 23 Simplifying x = 23
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