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Simplifying 5x + 4 = 12x + -10 Reorder the terms: 4 + 5x = 12x + -10 Reorder the terms: 4 + 5x = -10 + 12x Solving 4 + 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. 4 + 5x + -12x = -10 + 12x + -12x Combine like terms: 5x + -12x = -7x 4 + -7x = -10 + 12x + -12x Combine like terms: 12x + -12x = 0 4 + -7x = -10 + 0 4 + -7x = -10 Add '-4' to each side of the equation. 4 + -4 + -7x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -7x = -10 + -4 -7x = -10 + -4 Combine like terms: -10 + -4 = -14 -7x = -14 Divide each side by '-7'. x = 2 Simplifying x = 2
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