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Simplifying -6(-19x + -48) = 21(45 + -7x) Reorder the terms: -6(-48 + -19x) = 21(45 + -7x) (-48 * -6 + -19x * -6) = 21(45 + -7x) (288 + 114x) = 21(45 + -7x) 288 + 114x = (45 * 21 + -7x * 21) 288 + 114x = (945 + -147x) Solving 288 + 114x = 945 + -147x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '147x' to each side of the equation. 288 + 114x + 147x = 945 + -147x + 147x Combine like terms: 114x + 147x = 261x 288 + 261x = 945 + -147x + 147x Combine like terms: -147x + 147x = 0 288 + 261x = 945 + 0 288 + 261x = 945 Add '-288' to each side of the equation. 288 + -288 + 261x = 945 + -288 Combine like terms: 288 + -288 = 0 0 + 261x = 945 + -288 261x = 945 + -288 Combine like terms: 945 + -288 = 657 261x = 657 Divide each side by '261'. x = 2.517241379 Simplifying x = 2.517241379
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