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Simplifying 10(x + 2) = 6(x + 2) Reorder the terms: 10(2 + x) = 6(x + 2) (2 * 10 + x * 10) = 6(x + 2) (20 + 10x) = 6(x + 2) Reorder the terms: 20 + 10x = 6(2 + x) 20 + 10x = (2 * 6 + x * 6) 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 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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