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Simplifying 0.6(x + -9) = 0.2(23 + -2x) Reorder the terms: 0.6(-9 + x) = 0.2(23 + -2x) (-9 * 0.6 + x * 0.6) = 0.2(23 + -2x) (-5.4 + 0.6x) = 0.2(23 + -2x) -5.4 + 0.6x = (23 * 0.2 + -2x * 0.2) -5.4 + 0.6x = (4.6 + -0.4x) Solving -5.4 + 0.6x = 4.6 + -0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4x' to each side of the equation. -5.4 + 0.6x + 0.4x = 4.6 + -0.4x + 0.4x Combine like terms: 0.6x + 0.4x = 1x -5.4 + 1x = 4.6 + -0.4x + 0.4x Combine like terms: -0.4x + 0.4x = 0.0 -5.4 + 1x = 4.6 + 0.0 -5.4 + 1x = 4.6 Add '5.4' to each side of the equation. -5.4 + 5.4 + 1x = 4.6 + 5.4 Combine like terms: -5.4 + 5.4 = 0.0 0.0 + 1x = 4.6 + 5.4 1x = 4.6 + 5.4 Combine like terms: 4.6 + 5.4 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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