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Simplifying 5x + 116 = 12x + -10 Reorder the terms: 116 + 5x = 12x + -10 Reorder the terms: 116 + 5x = -10 + 12x Solving 116 + 5x = -10 + 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. 116 + 5x + -12x = -10 + 12x + -12x Combine like terms: 5x + -12x = -7x 116 + -7x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 116 + -7x = -10 + 0 116 + -7x = -10 Add '-116' to each side of the equation. 116 + -116 + -7x = -10 + -116 Combine like terms: 116 + -116 = 0 0 + -7x = -10 + -116 -7x = -10 + -116 Combine like terms: -10 + -116 = -126 -7x = -126 Divide each side by '-7'. x = 18 Simplifying x = 18
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