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Simplifying 2x(3 + 2) + -40 = 100 Combine like terms: 3 + 2 = 5 2x(5) + -40 = 100 Reorder the terms for easier multiplication: 2 * 5x + -40 = 100 Multiply 2 * 5 10x + -40 = 100 Reorder the terms: -40 + 10x = 100 Solving -40 + 10x = 100 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + 40 + 10x = 100 + 40 Combine like terms: -40 + 40 = 0 0 + 10x = 100 + 40 10x = 100 + 40 Combine like terms: 100 + 40 = 140 10x = 140 Divide each side by '10'. x = 14 Simplifying x = 14
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