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Simplifying 4x + -65 = 78 + -7x Reorder the terms: -65 + 4x = 78 + -7x Solving -65 + 4x = 78 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -65 + 4x + 7x = 78 + -7x + 7x Combine like terms: 4x + 7x = 11x -65 + 11x = 78 + -7x + 7x Combine like terms: -7x + 7x = 0 -65 + 11x = 78 + 0 -65 + 11x = 78 Add '65' to each side of the equation. -65 + 65 + 11x = 78 + 65 Combine like terms: -65 + 65 = 0 0 + 11x = 78 + 65 11x = 78 + 65 Combine like terms: 78 + 65 = 143 11x = 143 Divide each side by '11'. x = 13 Simplifying x = 13
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