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Simplifying 10(x + -2) = 6x + 12 Reorder the terms: 10(-2 + x) = 6x + 12 (-2 * 10 + x * 10) = 6x + 12 (-20 + 10x) = 6x + 12 Reorder the terms: -20 + 10x = 12 + 6x Solving -20 + 10x = 12 + 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. -20 + 10x + -6x = 12 + 6x + -6x Combine like terms: 10x + -6x = 4x -20 + 4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + 4x = 12 + 0 -20 + 4x = 12 Add '20' to each side of the equation. -20 + 20 + 4x = 12 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = 12 + 20 4x = 12 + 20 Combine like terms: 12 + 20 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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