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Simplifying 2(2x + -15) = 2x + -6 Reorder the terms: 2(-15 + 2x) = 2x + -6 (-15 * 2 + 2x * 2) = 2x + -6 (-30 + 4x) = 2x + -6 Reorder the terms: -30 + 4x = -6 + 2x Solving -30 + 4x = -6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + 4x + -2x = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x -30 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + 2x = -6 + 0 -30 + 2x = -6 Add '30' to each side of the equation. -30 + 30 + 2x = -6 + 30 Combine like terms: -30 + 30 = 0 0 + 2x = -6 + 30 2x = -6 + 30 Combine like terms: -6 + 30 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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