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Simplifying 6.2(2x + -5) = 3.5(2x + -3) Reorder the terms: 6.2(-5 + 2x) = 3.5(2x + -3) (-5 * 6.2 + 2x * 6.2) = 3.5(2x + -3) (-31 + 12.4x) = 3.5(2x + -3) Reorder the terms: -31 + 12.4x = 3.5(-3 + 2x) -31 + 12.4x = (-3 * 3.5 + 2x * 3.5) -31 + 12.4x = (-10.5 + 7x) Solving -31 + 12.4x = -10.5 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -31 + 12.4x + -7x = -10.5 + 7x + -7x Combine like terms: 12.4x + -7x = 5.4x -31 + 5.4x = -10.5 + 7x + -7x Combine like terms: 7x + -7x = 0 -31 + 5.4x = -10.5 + 0 -31 + 5.4x = -10.5 Add '31' to each side of the equation. -31 + 31 + 5.4x = -10.5 + 31 Combine like terms: -31 + 31 = 0 0 + 5.4x = -10.5 + 31 5.4x = -10.5 + 31 Combine like terms: -10.5 + 31 = 20.5 5.4x = 20.5 Divide each side by '5.4'. x = 3.796296296 Simplifying x = 3.796296296
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