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Simplifying -14(x + 1) + 5(4x + -7) = 5(x + -4) + 14 Reorder the terms: -14(1 + x) + 5(4x + -7) = 5(x + -4) + 14 (1 * -14 + x * -14) + 5(4x + -7) = 5(x + -4) + 14 (-14 + -14x) + 5(4x + -7) = 5(x + -4) + 14 Reorder the terms: -14 + -14x + 5(-7 + 4x) = 5(x + -4) + 14 -14 + -14x + (-7 * 5 + 4x * 5) = 5(x + -4) + 14 -14 + -14x + (-35 + 20x) = 5(x + -4) + 14 Reorder the terms: -14 + -35 + -14x + 20x = 5(x + -4) + 14 Combine like terms: -14 + -35 = -49 -49 + -14x + 20x = 5(x + -4) + 14 Combine like terms: -14x + 20x = 6x -49 + 6x = 5(x + -4) + 14 Reorder the terms: -49 + 6x = 5(-4 + x) + 14 -49 + 6x = (-4 * 5 + x * 5) + 14 -49 + 6x = (-20 + 5x) + 14 Reorder the terms: -49 + 6x = -20 + 14 + 5x Combine like terms: -20 + 14 = -6 -49 + 6x = -6 + 5x Solving -49 + 6x = -6 + 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. -49 + 6x + -5x = -6 + 5x + -5x Combine like terms: 6x + -5x = 1x -49 + 1x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -49 + 1x = -6 + 0 -49 + 1x = -6 Add '49' to each side of the equation. -49 + 49 + 1x = -6 + 49 Combine like terms: -49 + 49 = 0 0 + 1x = -6 + 49 1x = -6 + 49 Combine like terms: -6 + 49 = 43 1x = 43 Divide each side by '1'. x = 43 Simplifying x = 43
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