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Simplifying -14(x + 3) + 5(4x + -6) = 5(x + -4) + 13 Reorder the terms: -14(3 + x) + 5(4x + -6) = 5(x + -4) + 13 (3 * -14 + x * -14) + 5(4x + -6) = 5(x + -4) + 13 (-42 + -14x) + 5(4x + -6) = 5(x + -4) + 13 Reorder the terms: -42 + -14x + 5(-6 + 4x) = 5(x + -4) + 13 -42 + -14x + (-6 * 5 + 4x * 5) = 5(x + -4) + 13 -42 + -14x + (-30 + 20x) = 5(x + -4) + 13 Reorder the terms: -42 + -30 + -14x + 20x = 5(x + -4) + 13 Combine like terms: -42 + -30 = -72 -72 + -14x + 20x = 5(x + -4) + 13 Combine like terms: -14x + 20x = 6x -72 + 6x = 5(x + -4) + 13 Reorder the terms: -72 + 6x = 5(-4 + x) + 13 -72 + 6x = (-4 * 5 + x * 5) + 13 -72 + 6x = (-20 + 5x) + 13 Reorder the terms: -72 + 6x = -20 + 13 + 5x Combine like terms: -20 + 13 = -7 -72 + 6x = -7 + 5x Solving -72 + 6x = -7 + 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. -72 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -72 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -72 + 1x = -7 + 0 -72 + 1x = -7 Add '72' to each side of the equation. -72 + 72 + 1x = -7 + 72 Combine like terms: -72 + 72 = 0 0 + 1x = -7 + 72 1x = -7 + 72 Combine like terms: -7 + 72 = 65 1x = 65 Divide each side by '1'. x = 65 Simplifying x = 65
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