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Simplifying 2.5(1.2x + -3) = -5.4x + 6.2 Reorder the terms: 2.5(-3 + 1.2x) = -5.4x + 6.2 (-3 * 2.5 + 1.2x * 2.5) = -5.4x + 6.2 (-7.5 + 3x) = -5.4x + 6.2 Reorder the terms: -7.5 + 3x = 6.2 + -5.4x Solving -7.5 + 3x = 6.2 + -5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4x' to each side of the equation. -7.5 + 3x + 5.4x = 6.2 + -5.4x + 5.4x Combine like terms: 3x + 5.4x = 8.4x -7.5 + 8.4x = 6.2 + -5.4x + 5.4x Combine like terms: -5.4x + 5.4x = 0.0 -7.5 + 8.4x = 6.2 + 0.0 -7.5 + 8.4x = 6.2 Add '7.5' to each side of the equation. -7.5 + 7.5 + 8.4x = 6.2 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 8.4x = 6.2 + 7.5 8.4x = 6.2 + 7.5 Combine like terms: 6.2 + 7.5 = 13.7 8.4x = 13.7 Divide each side by '8.4'. x = 1.630952381 Simplifying x = 1.630952381
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