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Simplifying 2(2x + 5) = 7x + 40 Reorder the terms: 2(5 + 2x) = 7x + 40 (5 * 2 + 2x * 2) = 7x + 40 (10 + 4x) = 7x + 40 Reorder the terms: 10 + 4x = 40 + 7x Solving 10 + 4x = 40 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 10 + 4x + -7x = 40 + 7x + -7x Combine like terms: 4x + -7x = -3x 10 + -3x = 40 + 7x + -7x Combine like terms: 7x + -7x = 0 10 + -3x = 40 + 0 10 + -3x = 40 Add '-10' to each side of the equation. 10 + -10 + -3x = 40 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 40 + -10 -3x = 40 + -10 Combine like terms: 40 + -10 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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