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