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Simplifying 2(2x + -5) = 3x + 5 + -2(5) Reorder the terms: 2(-5 + 2x) = 3x + 5 + -2(5) (-5 * 2 + 2x * 2) = 3x + 5 + -2(5) (-10 + 4x) = 3x + 5 + -2(5) Multiply -2 * 5 -10 + 4x = 3x + 5 + -10 Reorder the terms: -10 + 4x = 5 + -10 + 3x Combine like terms: 5 + -10 = -5 -10 + 4x = -5 + 3x Solving -10 + 4x = -5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 4x + -3x = -5 + 3x + -3x Combine like terms: 4x + -3x = 1x -10 + 1x = -5 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 1x = -5 + 0 -10 + 1x = -5 Add '10' to each side of the equation. -10 + 10 + 1x = -5 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -5 + 10 1x = -5 + 10 Combine like terms: -5 + 10 = 5 1x = 5 Divide each side by '1'. x = 5 Simplifying x = 5
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