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Simplifying 2x + 3(-7 + -4x) = 14 + -5x 2x + (-7 * 3 + -4x * 3) = 14 + -5x 2x + (-21 + -12x) = 14 + -5x Reorder the terms: -21 + 2x + -12x = 14 + -5x Combine like terms: 2x + -12x = -10x -21 + -10x = 14 + -5x Solving -21 + -10x = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -21 + -10x + 5x = 14 + -5x + 5x Combine like terms: -10x + 5x = -5x -21 + -5x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + -5x = 14 + 0 -21 + -5x = 14 Add '21' to each side of the equation. -21 + 21 + -5x = 14 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 14 + 21 -5x = 14 + 21 Combine like terms: 14 + 21 = 35 -5x = 35 Divide each side by '-5'. x = -7 Simplifying x = -7
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