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Simplifying -14x + 3(x + -5) + 9x = 5x + -64 Reorder the terms: -14x + 3(-5 + x) + 9x = 5x + -64 -14x + (-5 * 3 + x * 3) + 9x = 5x + -64 -14x + (-15 + 3x) + 9x = 5x + -64 Reorder the terms: -15 + -14x + 3x + 9x = 5x + -64 Combine like terms: -14x + 3x = -11x -15 + -11x + 9x = 5x + -64 Combine like terms: -11x + 9x = -2x -15 + -2x = 5x + -64 Reorder the terms: -15 + -2x = -64 + 5x Solving -15 + -2x = -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. -15 + -2x + -5x = -64 + 5x + -5x Combine like terms: -2x + -5x = -7x -15 + -7x = -64 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -7x = -64 + 0 -15 + -7x = -64 Add '15' to each side of the equation. -15 + 15 + -7x = -64 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -64 + 15 -7x = -64 + 15 Combine like terms: -64 + 15 = -49 -7x = -49 Divide each side by '-7'. x = 7 Simplifying x = 7
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