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Simplifying 4x + 7x + -30 = 75 + -4x Reorder the terms: -30 + 4x + 7x = 75 + -4x Combine like terms: 4x + 7x = 11x -30 + 11x = 75 + -4x Solving -30 + 11x = 75 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -30 + 11x + 4x = 75 + -4x + 4x Combine like terms: 11x + 4x = 15x -30 + 15x = 75 + -4x + 4x Combine like terms: -4x + 4x = 0 -30 + 15x = 75 + 0 -30 + 15x = 75 Add '30' to each side of the equation. -30 + 30 + 15x = 75 + 30 Combine like terms: -30 + 30 = 0 0 + 15x = 75 + 30 15x = 75 + 30 Combine like terms: 75 + 30 = 105 15x = 105 Divide each side by '15'. x = 7 Simplifying x = 7
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