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Simplifying 10x + -17 = 12x + 21 Reorder the terms: -17 + 10x = 12x + 21 Reorder the terms: -17 + 10x = 21 + 12x Solving -17 + 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. -17 + 10x + -12x = 21 + 12x + -12x Combine like terms: 10x + -12x = -2x -17 + -2x = 21 + 12x + -12x Combine like terms: 12x + -12x = 0 -17 + -2x = 21 + 0 -17 + -2x = 21 Add '17' to each side of the equation. -17 + 17 + -2x = 21 + 17 Combine like terms: -17 + 17 = 0 0 + -2x = 21 + 17 -2x = 21 + 17 Combine like terms: 21 + 17 = 38 -2x = 38 Divide each side by '-2'. x = -19 Simplifying x = -19
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