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Simplifying -4.243(3.12x + -3.7) + 7.6x = 4.4(x + 6.8) Reorder the terms: -4.243(-3.7 + 3.12x) + 7.6x = 4.4(x + 6.8) (-3.7 * -4.243 + 3.12x * -4.243) + 7.6x = 4.4(x + 6.8) (15.6991 + -13.23816x) + 7.6x = 4.4(x + 6.8) Combine like terms: -13.23816x + 7.6x = -5.63816x 15.6991 + -5.63816x = 4.4(x + 6.8) Reorder the terms: 15.6991 + -5.63816x = 4.4(6.8 + x) 15.6991 + -5.63816x = (6.8 * 4.4 + x * 4.4) 15.6991 + -5.63816x = (29.92 + 4.4x) Solving 15.6991 + -5.63816x = 29.92 + 4.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.4x' to each side of the equation. 15.6991 + -5.63816x + -4.4x = 29.92 + 4.4x + -4.4x Combine like terms: -5.63816x + -4.4x = -10.03816x 15.6991 + -10.03816x = 29.92 + 4.4x + -4.4x Combine like terms: 4.4x + -4.4x = 0.0 15.6991 + -10.03816x = 29.92 + 0.0 15.6991 + -10.03816x = 29.92 Add '-15.6991' to each side of the equation. 15.6991 + -15.6991 + -10.03816x = 29.92 + -15.6991 Combine like terms: 15.6991 + -15.6991 = 0.0000 0.0000 + -10.03816x = 29.92 + -15.6991 -10.03816x = 29.92 + -15.6991 Combine like terms: 29.92 + -15.6991 = 14.2209 -10.03816x = 14.2209 Divide each side by '-10.03816'. x = -1.416683934 Simplifying x = -1.416683934
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