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Simplifying -10(6x + -20) = 3x + 54 Reorder the terms: -10(-20 + 6x) = 3x + 54 (-20 * -10 + 6x * -10) = 3x + 54 (200 + -60x) = 3x + 54 Reorder the terms: 200 + -60x = 54 + 3x Solving 200 + -60x = 54 + 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. 200 + -60x + -3x = 54 + 3x + -3x Combine like terms: -60x + -3x = -63x 200 + -63x = 54 + 3x + -3x Combine like terms: 3x + -3x = 0 200 + -63x = 54 + 0 200 + -63x = 54 Add '-200' to each side of the equation. 200 + -200 + -63x = 54 + -200 Combine like terms: 200 + -200 = 0 0 + -63x = 54 + -200 -63x = 54 + -200 Combine like terms: 54 + -200 = -146 -63x = -146 Divide each side by '-63'. x = 2.317460317 Simplifying x = 2.317460317
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