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Simplifying -14x + 3(x + -5) + 9 = 5x + -64 Reorder the terms: -14x + 3(-5 + x) + 9 = 5x + -64 -14x + (-5 * 3 + x * 3) + 9 = 5x + -64 -14x + (-15 + 3x) + 9 = 5x + -64 Reorder the terms: -15 + 9 + -14x + 3x = 5x + -64 Combine like terms: -15 + 9 = -6 -6 + -14x + 3x = 5x + -64 Combine like terms: -14x + 3x = -11x -6 + -11x = 5x + -64 Reorder the terms: -6 + -11x = -64 + 5x Solving -6 + -11x = -64 + 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. -6 + -11x + -5x = -64 + 5x + -5x Combine like terms: -11x + -5x = -16x -6 + -16x = -64 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -16x = -64 + 0 -6 + -16x = -64 Add '6' to each side of the equation. -6 + 6 + -16x = -64 + 6 Combine like terms: -6 + 6 = 0 0 + -16x = -64 + 6 -16x = -64 + 6 Combine like terms: -64 + 6 = -58 -16x = -58 Divide each side by '-16'. x = 3.625 Simplifying x = 3.625
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