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Simplifying 14x + -21 = 3(4x + -11) Reorder the terms: -21 + 14x = 3(4x + -11) Reorder the terms: -21 + 14x = 3(-11 + 4x) -21 + 14x = (-11 * 3 + 4x * 3) -21 + 14x = (-33 + 12x) Solving -21 + 14x = -33 + 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. -21 + 14x + -12x = -33 + 12x + -12x Combine like terms: 14x + -12x = 2x -21 + 2x = -33 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + 2x = -33 + 0 -21 + 2x = -33 Add '21' to each side of the equation. -21 + 21 + 2x = -33 + 21 Combine like terms: -21 + 21 = 0 0 + 2x = -33 + 21 2x = -33 + 21 Combine like terms: -33 + 21 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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