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