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Simplifying 10x + -5 + 12 = 7x + 21 + -4x Reorder the terms: -5 + 12 + 10x = 7x + 21 + -4x Combine like terms: -5 + 12 = 7 7 + 10x = 7x + 21 + -4x Reorder the terms: 7 + 10x = 21 + 7x + -4x Combine like terms: 7x + -4x = 3x 7 + 10x = 21 + 3x Solving 7 + 10x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 10x + -3x = 21 + 3x + -3x Combine like terms: 10x + -3x = 7x 7 + 7x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 7x = 21 + 0 7 + 7x = 21 Add '-7' to each side of the equation. 7 + -7 + 7x = 21 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 21 + -7 7x = 21 + -7 Combine like terms: 21 + -7 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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