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Simplifying 3.7(2.3x + -2.7) = 7.8(x + -1.2) Reorder the terms: 3.7(-2.7 + 2.3x) = 7.8(x + -1.2) (-2.7 * 3.7 + 2.3x * 3.7) = 7.8(x + -1.2) (-9.99 + 8.51x) = 7.8(x + -1.2) Reorder the terms: -9.99 + 8.51x = 7.8(-1.2 + x) -9.99 + 8.51x = (-1.2 * 7.8 + x * 7.8) -9.99 + 8.51x = (-9.36 + 7.8x) Solving -9.99 + 8.51x = -9.36 + 7.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.8x' to each side of the equation. -9.99 + 8.51x + -7.8x = -9.36 + 7.8x + -7.8x Combine like terms: 8.51x + -7.8x = 0.71x -9.99 + 0.71x = -9.36 + 7.8x + -7.8x Combine like terms: 7.8x + -7.8x = 0.0 -9.99 + 0.71x = -9.36 + 0.0 -9.99 + 0.71x = -9.36 Add '9.99' to each side of the equation. -9.99 + 9.99 + 0.71x = -9.36 + 9.99 Combine like terms: -9.99 + 9.99 = 0.00 0.00 + 0.71x = -9.36 + 9.99 0.71x = -9.36 + 9.99 Combine like terms: -9.36 + 9.99 = 0.63 0.71x = 0.63 Divide each side by '0.71'. x = 0.8873239437 Simplifying x = 0.8873239437
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