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Simplifying 10x + 5 = 12x + 21 Reorder the terms: 5 + 10x = 12x + 21 Reorder the terms: 5 + 10x = 21 + 12x Solving 5 + 10x = 21 + 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. 5 + 10x + -12x = 21 + 12x + -12x Combine like terms: 10x + -12x = -2x 5 + -2x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -2x = 21 + 0 5 + -2x = 21 Add '-5' to each side of the equation. 5 + -5 + -2x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 21 + -5 -2x = 21 + -5 Combine like terms: 21 + -5 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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