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Simplifying 5(4x + -10) + -14x = x + -15x Reorder the terms: 5(-10 + 4x) + -14x = x + -15x (-10 * 5 + 4x * 5) + -14x = x + -15x (-50 + 20x) + -14x = x + -15x Combine like terms: 20x + -14x = 6x -50 + 6x = x + -15x Combine like terms: x + -15x = -14x -50 + 6x = -14x Solving -50 + 6x = -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. -50 + 6x + 14x = -14x + 14x Combine like terms: 6x + 14x = 20x -50 + 20x = -14x + 14x Combine like terms: -14x + 14x = 0 -50 + 20x = 0 Add '50' to each side of the equation. -50 + 50 + 20x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + 20x = 0 + 50 20x = 0 + 50 Combine like terms: 0 + 50 = 50 20x = 50 Divide each side by '20'. x = 2.5 Simplifying x = 2.5
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