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Simplifying 10x + 12 = 2(3x + 6) Reorder the terms: 12 + 10x = 2(3x + 6) Reorder the terms: 12 + 10x = 2(6 + 3x) 12 + 10x = (6 * 2 + 3x * 2) 12 + 10x = (12 + 6x) Add '-12' to each side of the equation. 12 + -12 + 10x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 0 + 10x = 12 + -12 + 6x 10x = 12 + -12 + 6x Combine like terms: 12 + -12 = 0 10x = 0 + 6x 10x = 6x Solving 10x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 10x + -6x = 6x + -6x Combine like terms: 10x + -6x = 4x 4x = 6x + -6x Combine like terms: 6x + -6x = 0 4x = 0 Divide each side by '4'. x = 0 Simplifying x = 0
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