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Simplifying 2(2x + -5) = 7x + 2 Reorder the terms: 2(-5 + 2x) = 7x + 2 (-5 * 2 + 2x * 2) = 7x + 2 (-10 + 4x) = 7x + 2 Reorder the terms: -10 + 4x = 2 + 7x Solving -10 + 4x = 2 + 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 = 2 + 7x + -7x Combine like terms: 4x + -7x = -3x -10 + -3x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + -3x = 2 + 0 -10 + -3x = 2 Add '10' to each side of the equation. -10 + 10 + -3x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -3x = 2 + 10 -3x = 2 + 10 Combine like terms: 2 + 10 = 12 -3x = 12 Divide each side by '-3'. x = -4 Simplifying x = -4
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