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Simplifying 5x + -12 + -6x = 5x + -48 Reorder the terms: -12 + 5x + -6x = 5x + -48 Combine like terms: 5x + -6x = -1x -12 + -1x = 5x + -48 Reorder the terms: -12 + -1x = -48 + 5x Solving -12 + -1x = -48 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -12 + -1x + -5x = -48 + 5x + -5x Combine like terms: -1x + -5x = -6x -12 + -6x = -48 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -6x = -48 + 0 -12 + -6x = -48 Add '12' to each side of the equation. -12 + 12 + -6x = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = -48 + 12 -6x = -48 + 12 Combine like terms: -48 + 12 = -36 -6x = -36 Divide each side by '-6'. x = 6 Simplifying x = 6
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