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Simplifying 5(2x + -5) + 4x = 50 + -1x Reorder the terms: 5(-5 + 2x) + 4x = 50 + -1x (-5 * 5 + 2x * 5) + 4x = 50 + -1x (-25 + 10x) + 4x = 50 + -1x Combine like terms: 10x + 4x = 14x -25 + 14x = 50 + -1x Solving -25 + 14x = 50 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -25 + 14x + x = 50 + -1x + x Combine like terms: 14x + x = 15x -25 + 15x = 50 + -1x + x Combine like terms: -1x + x = 0 -25 + 15x = 50 + 0 -25 + 15x = 50 Add '25' to each side of the equation. -25 + 25 + 15x = 50 + 25 Combine like terms: -25 + 25 = 0 0 + 15x = 50 + 25 15x = 50 + 25 Combine like terms: 50 + 25 = 75 15x = 75 Divide each side by '15'. x = 5 Simplifying x = 5
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