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Simplifying -6.3(x + 3.7) + 7.65x = -1.1x + -38.99 Reorder the terms: -6.3(3.7 + x) + 7.65x = -1.1x + -38.99 (3.7 * -6.3 + x * -6.3) + 7.65x = -1.1x + -38.99 (-23.31 + -6.3x) + 7.65x = -1.1x + -38.99 Combine like terms: -6.3x + 7.65x = 1.35x -23.31 + 1.35x = -1.1x + -38.99 Reorder the terms: -23.31 + 1.35x = -38.99 + -1.1x Solving -23.31 + 1.35x = -38.99 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. -23.31 + 1.35x + 1.1x = -38.99 + -1.1x + 1.1x Combine like terms: 1.35x + 1.1x = 2.45x -23.31 + 2.45x = -38.99 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 -23.31 + 2.45x = -38.99 + 0.0 -23.31 + 2.45x = -38.99 Add '23.31' to each side of the equation. -23.31 + 23.31 + 2.45x = -38.99 + 23.31 Combine like terms: -23.31 + 23.31 = 0.00 0.00 + 2.45x = -38.99 + 23.31 2.45x = -38.99 + 23.31 Combine like terms: -38.99 + 23.31 = -15.68 2.45x = -15.68 Divide each side by '2.45'. x = -6.4 Simplifying x = -6.4
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