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Simplifying -3(-18x + 46) = -10(-28 + 3x) Reorder the terms: -3(46 + -18x) = -10(-28 + 3x) (46 * -3 + -18x * -3) = -10(-28 + 3x) (-138 + 54x) = -10(-28 + 3x) -138 + 54x = (-28 * -10 + 3x * -10) -138 + 54x = (280 + -30x) Solving -138 + 54x = 280 + -30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '30x' to each side of the equation. -138 + 54x + 30x = 280 + -30x + 30x Combine like terms: 54x + 30x = 84x -138 + 84x = 280 + -30x + 30x Combine like terms: -30x + 30x = 0 -138 + 84x = 280 + 0 -138 + 84x = 280 Add '138' to each side of the equation. -138 + 138 + 84x = 280 + 138 Combine like terms: -138 + 138 = 0 0 + 84x = 280 + 138 84x = 280 + 138 Combine like terms: 280 + 138 = 418 84x = 418 Divide each side by '84'. x = 4.976190476 Simplifying x = 4.976190476
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