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Simplifying 5x + -13 = 12x + -48 Reorder the terms: -13 + 5x = 12x + -48 Reorder the terms: -13 + 5x = -48 + 12x Solving -13 + 5x = -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. -13 + 5x + -12x = -48 + 12x + -12x Combine like terms: 5x + -12x = -7x -13 + -7x = -48 + 12x + -12x Combine like terms: 12x + -12x = 0 -13 + -7x = -48 + 0 -13 + -7x = -48 Add '13' to each side of the equation. -13 + 13 + -7x = -48 + 13 Combine like terms: -13 + 13 = 0 0 + -7x = -48 + 13 -7x = -48 + 13 Combine like terms: -48 + 13 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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