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Simplifying 7 + (-12) = 7x + -5 + -6x 7 + -12 = 7x + -5 + -6x Combine like terms: 7 + -12 = -5 -5 = 7x + -5 + -6x Reorder the terms: -5 = -5 + 7x + -6x Combine like terms: 7x + -6x = 1x -5 = -5 + 1x Add '5' to each side of the equation. -5 + 5 = -5 + 5 + 1x Combine like terms: -5 + 5 = 0 0 = -5 + 5 + 1x Combine like terms: -5 + 5 = 0 0 = 0 + 1x 0 = 1x Solving 0 = 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0 + -1x = 1x + -1x Remove the zero: -1x = 1x + -1x Combine like terms: 1x + -1x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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