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Simplifying 3.2(2x + 3) = 5(0.2x + -0.9) Reorder the terms: 3.2(3 + 2x) = 5(0.2x + -0.9) (3 * 3.2 + 2x * 3.2) = 5(0.2x + -0.9) (9.6 + 6.4x) = 5(0.2x + -0.9) Reorder the terms: 9.6 + 6.4x = 5(-0.9 + 0.2x) 9.6 + 6.4x = (-0.9 * 5 + 0.2x * 5) 9.6 + 6.4x = (-4.5 + 1x) Solving 9.6 + 6.4x = -4.5 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9.6 + 6.4x + -1x = -4.5 + 1x + -1x Combine like terms: 6.4x + -1x = 5.4x 9.6 + 5.4x = -4.5 + 1x + -1x Combine like terms: 1x + -1x = 0 9.6 + 5.4x = -4.5 + 0 9.6 + 5.4x = -4.5 Add '-9.6' to each side of the equation. 9.6 + -9.6 + 5.4x = -4.5 + -9.6 Combine like terms: 9.6 + -9.6 = 0.0 0.0 + 5.4x = -4.5 + -9.6 5.4x = -4.5 + -9.6 Combine like terms: -4.5 + -9.6 = -14.1 5.4x = -14.1 Divide each side by '5.4'. x = -2.611111111 Simplifying x = -2.611111111
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