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Simplifying 5x + 127 = 12x + -6 Reorder the terms: 127 + 5x = 12x + -6 Reorder the terms: 127 + 5x = -6 + 12x Solving 127 + 5x = -6 + 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. 127 + 5x + -12x = -6 + 12x + -12x Combine like terms: 5x + -12x = -7x 127 + -7x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 127 + -7x = -6 + 0 127 + -7x = -6 Add '-127' to each side of the equation. 127 + -127 + -7x = -6 + -127 Combine like terms: 127 + -127 = 0 0 + -7x = -6 + -127 -7x = -6 + -127 Combine like terms: -6 + -127 = -133 -7x = -133 Divide each side by '-7'. x = 19 Simplifying x = 19
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