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Simplifying 0.6(x + -9) = 5(x + -2) Reorder the terms: 0.6(-9 + x) = 5(x + -2) (-9 * 0.6 + x * 0.6) = 5(x + -2) (-5.4 + 0.6x) = 5(x + -2) Reorder the terms: -5.4 + 0.6x = 5(-2 + x) -5.4 + 0.6x = (-2 * 5 + x * 5) -5.4 + 0.6x = (-10 + 5x) Solving -5.4 + 0.6x = -10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5.4 + 0.6x + -5x = -10 + 5x + -5x Combine like terms: 0.6x + -5x = -4.4x -5.4 + -4.4x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -5.4 + -4.4x = -10 + 0 -5.4 + -4.4x = -10 Add '5.4' to each side of the equation. -5.4 + 5.4 + -4.4x = -10 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + -4.4x = -10 + 5.4 -4.4x = -10 + 5.4 Combine like terms: -10 + 5.4 = -4.6 -4.4x = -4.6 Divide each side by '-4.4'. x = 1.045454545 Simplifying x = 1.045454545
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