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Simplifying 10.2(3.5 + -4.1x) = 7.2(8.7x + -4.9) (3.5 * 10.2 + -4.1x * 10.2) = 7.2(8.7x + -4.9) (35.7 + -41.82x) = 7.2(8.7x + -4.9) Reorder the terms: 35.7 + -41.82x = 7.2(-4.9 + 8.7x) 35.7 + -41.82x = (-4.9 * 7.2 + 8.7x * 7.2) 35.7 + -41.82x = (-35.28 + 62.64x) Solving 35.7 + -41.82x = -35.28 + 62.64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-62.64x' to each side of the equation. 35.7 + -41.82x + -62.64x = -35.28 + 62.64x + -62.64x Combine like terms: -41.82x + -62.64x = -104.46x 35.7 + -104.46x = -35.28 + 62.64x + -62.64x Combine like terms: 62.64x + -62.64x = 0.00 35.7 + -104.46x = -35.28 + 0.00 35.7 + -104.46x = -35.28 Add '-35.7' to each side of the equation. 35.7 + -35.7 + -104.46x = -35.28 + -35.7 Combine like terms: 35.7 + -35.7 = 0.0 0.0 + -104.46x = -35.28 + -35.7 -104.46x = -35.28 + -35.7 Combine like terms: -35.28 + -35.7 = -70.98 -104.46x = -70.98 Divide each side by '-104.46'. x = 0.6794945434 Simplifying x = 0.6794945434
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