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Simplifying 7x + 4 + -9x = 12x + -48 Reorder the terms: 4 + 7x + -9x = 12x + -48 Combine like terms: 7x + -9x = -2x 4 + -2x = 12x + -48 Reorder the terms: 4 + -2x = -48 + 12x Solving 4 + -2x = -48 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 4 + -2x + -12x = -48 + 12x + -12x Combine like terms: -2x + -12x = -14x 4 + -14x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -14x = -48 + 0 4 + -14x = -48 Add '-4' to each side of the equation. 4 + -4 + -14x = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -14x = -48 + -4 -14x = -48 + -4 Combine like terms: -48 + -4 = -52 -14x = -52 Divide each side by '-14'. x = 3.714285714 Simplifying x = 3.714285714
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