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Simplifying 2(5x + 2) + -5(x + 3) = 12 Reorder the terms: 2(2 + 5x) + -5(x + 3) = 12 (2 * 2 + 5x * 2) + -5(x + 3) = 12 (4 + 10x) + -5(x + 3) = 12 Reorder the terms: 4 + 10x + -5(3 + x) = 12 4 + 10x + (3 * -5 + x * -5) = 12 4 + 10x + (-15 + -5x) = 12 Reorder the terms: 4 + -15 + 10x + -5x = 12 Combine like terms: 4 + -15 = -11 -11 + 10x + -5x = 12 Combine like terms: 10x + -5x = 5x -11 + 5x = 12 Solving -11 + 5x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 5x = 12 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = 12 + 11 5x = 12 + 11 Combine like terms: 12 + 11 = 23 5x = 23 Divide each side by '5'. x = 4.6 Simplifying x = 4.6
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