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Simplifying 12x + -48 = 7x + 13 + 48 + -13 Reorder the terms: -48 + 12x = 7x + 13 + 48 + -13 Reorder the terms: -48 + 12x = 13 + 48 + -13 + 7x Combine like terms: 13 + 48 = 61 -48 + 12x = 61 + -13 + 7x Combine like terms: 61 + -13 = 48 -48 + 12x = 48 + 7x Solving -48 + 12x = 48 + 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. -48 + 12x + -7x = 48 + 7x + -7x Combine like terms: 12x + -7x = 5x -48 + 5x = 48 + 7x + -7x Combine like terms: 7x + -7x = 0 -48 + 5x = 48 + 0 -48 + 5x = 48 Add '48' to each side of the equation. -48 + 48 + 5x = 48 + 48 Combine like terms: -48 + 48 = 0 0 + 5x = 48 + 48 5x = 48 + 48 Combine like terms: 48 + 48 = 96 5x = 96 Divide each side by '5'. x = 19.2 Simplifying x = 19.2
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