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Simplifying 2(5x + 2) = 2(-5 + 3x) Reorder the terms: 2(2 + 5x) = 2(-5 + 3x) (2 * 2 + 5x * 2) = 2(-5 + 3x) (4 + 10x) = 2(-5 + 3x) 4 + 10x = (-5 * 2 + 3x * 2) 4 + 10x = (-10 + 6x) Solving 4 + 10x = -10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 10x + -6x = -10 + 6x + -6x Combine like terms: 10x + -6x = 4x 4 + 4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + 4x = -10 + 0 4 + 4x = -10 Add '-4' to each side of the equation. 4 + -4 + 4x = -10 + -4 Combine like terms: 4 + -4 = 0 0 + 4x = -10 + -4 4x = -10 + -4 Combine like terms: -10 + -4 = -14 4x = -14 Divide each side by '4'. x = -3.5 Simplifying x = -3.5
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