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Simplifying -2(5.25 + 6.2x) = 2(-3.1x + 2.68) (5.25 * -2 + 6.2x * -2) = 2(-3.1x + 2.68) (-10.5 + -12.4x) = 2(-3.1x + 2.68) Reorder the terms: -10.5 + -12.4x = 2(2.68 + -3.1x) -10.5 + -12.4x = (2.68 * 2 + -3.1x * 2) -10.5 + -12.4x = (5.36 + -6.2x) Solving -10.5 + -12.4x = 5.36 + -6.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.2x' to each side of the equation. -10.5 + -12.4x + 6.2x = 5.36 + -6.2x + 6.2x Combine like terms: -12.4x + 6.2x = -6.2x -10.5 + -6.2x = 5.36 + -6.2x + 6.2x Combine like terms: -6.2x + 6.2x = 0.0 -10.5 + -6.2x = 5.36 + 0.0 -10.5 + -6.2x = 5.36 Add '10.5' to each side of the equation. -10.5 + 10.5 + -6.2x = 5.36 + 10.5 Combine like terms: -10.5 + 10.5 = 0.0 0.0 + -6.2x = 5.36 + 10.5 -6.2x = 5.36 + 10.5 Combine like terms: 5.36 + 10.5 = 15.86 -6.2x = 15.86 Divide each side by '-6.2'. x = -2.558064516 Simplifying x = -2.558064516
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