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Simplifying 2x + -4(4 + -3x) = 5(x + -4) + -14 2x + (4 * -4 + -3x * -4) = 5(x + -4) + -14 2x + (-16 + 12x) = 5(x + -4) + -14 Reorder the terms: -16 + 2x + 12x = 5(x + -4) + -14 Combine like terms: 2x + 12x = 14x -16 + 14x = 5(x + -4) + -14 Reorder the terms: -16 + 14x = 5(-4 + x) + -14 -16 + 14x = (-4 * 5 + x * 5) + -14 -16 + 14x = (-20 + 5x) + -14 Reorder the terms: -16 + 14x = -20 + -14 + 5x Combine like terms: -20 + -14 = -34 -16 + 14x = -34 + 5x Solving -16 + 14x = -34 + 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. -16 + 14x + -5x = -34 + 5x + -5x Combine like terms: 14x + -5x = 9x -16 + 9x = -34 + 5x + -5x Combine like terms: 5x + -5x = 0 -16 + 9x = -34 + 0 -16 + 9x = -34 Add '16' to each side of the equation. -16 + 16 + 9x = -34 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = -34 + 16 9x = -34 + 16 Combine like terms: -34 + 16 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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