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Simplifying 42 + -6x = -12 + -5x Solving 42 + -6x = -12 + -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. 42 + -6x + 5x = -12 + -5x + 5x Combine like terms: -6x + 5x = -1x 42 + -1x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 42 + -1x = -12 + 0 42 + -1x = -12 Add '-42' to each side of the equation. 42 + -42 + -1x = -12 + -42 Combine like terms: 42 + -42 = 0 0 + -1x = -12 + -42 -1x = -12 + -42 Combine like terms: -12 + -42 = -54 -1x = -54 Divide each side by '-1'. x = 54 Simplifying x = 54
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