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Simplifying -3.3(-6.3x + 4.2) + -5.3 = 1.7(6.2x + 3.2) Reorder the terms: -3.3(4.2 + -6.3x) + -5.3 = 1.7(6.2x + 3.2) (4.2 * -3.3 + -6.3x * -3.3) + -5.3 = 1.7(6.2x + 3.2) (-13.86 + 20.79x) + -5.3 = 1.7(6.2x + 3.2) Reorder the terms: -13.86 + -5.3 + 20.79x = 1.7(6.2x + 3.2) Combine like terms: -13.86 + -5.3 = -19.16 -19.16 + 20.79x = 1.7(6.2x + 3.2) Reorder the terms: -19.16 + 20.79x = 1.7(3.2 + 6.2x) -19.16 + 20.79x = (3.2 * 1.7 + 6.2x * 1.7) -19.16 + 20.79x = (5.44 + 10.54x) Solving -19.16 + 20.79x = 5.44 + 10.54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.54x' to each side of the equation. -19.16 + 20.79x + -10.54x = 5.44 + 10.54x + -10.54x Combine like terms: 20.79x + -10.54x = 10.25x -19.16 + 10.25x = 5.44 + 10.54x + -10.54x Combine like terms: 10.54x + -10.54x = 0.00 -19.16 + 10.25x = 5.44 + 0.00 -19.16 + 10.25x = 5.44 Add '19.16' to each side of the equation. -19.16 + 19.16 + 10.25x = 5.44 + 19.16 Combine like terms: -19.16 + 19.16 = 0.00 0.00 + 10.25x = 5.44 + 19.16 10.25x = 5.44 + 19.16 Combine like terms: 5.44 + 19.16 = 24.6 10.25x = 24.6 Divide each side by '10.25'. x = 2.4 Simplifying x = 2.4
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