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Simplifying 7(2x + -1) = 3(4x + 1) Reorder the terms: 7(-1 + 2x) = 3(4x + 1) (-1 * 7 + 2x * 7) = 3(4x + 1) (-7 + 14x) = 3(4x + 1) Reorder the terms: -7 + 14x = 3(1 + 4x) -7 + 14x = (1 * 3 + 4x * 3) -7 + 14x = (3 + 12x) Solving -7 + 14x = 3 + 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. -7 + 14x + -12x = 3 + 12x + -12x Combine like terms: 14x + -12x = 2x -7 + 2x = 3 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 2x = 3 + 0 -7 + 2x = 3 Add '7' to each side of the equation. -7 + 7 + 2x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 3 + 7 2x = 3 + 7 Combine like terms: 3 + 7 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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