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Simplifying 10(2.3x + 2.8) = 10(-1.2x + 9.8) Reorder the terms: 10(2.8 + 2.3x) = 10(-1.2x + 9.8) (2.8 * 10 + 2.3x * 10) = 10(-1.2x + 9.8) (28 + 23x) = 10(-1.2x + 9.8) Reorder the terms: 28 + 23x = 10(9.8 + -1.2x) 28 + 23x = (9.8 * 10 + -1.2x * 10) 28 + 23x = (98 + -12x) Solving 28 + 23x = 98 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 28 + 23x + 12x = 98 + -12x + 12x Combine like terms: 23x + 12x = 35x 28 + 35x = 98 + -12x + 12x Combine like terms: -12x + 12x = 0 28 + 35x = 98 + 0 28 + 35x = 98 Add '-28' to each side of the equation. 28 + -28 + 35x = 98 + -28 Combine like terms: 28 + -28 = 0 0 + 35x = 98 + -28 35x = 98 + -28 Combine like terms: 98 + -28 = 70 35x = 70 Divide each side by '35'. x = 2 Simplifying x = 2
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