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Simplifying 0.2(x + -6) = 9(x + -5) Reorder the terms: 0.2(-6 + x) = 9(x + -5) (-6 * 0.2 + x * 0.2) = 9(x + -5) (-1.2 + 0.2x) = 9(x + -5) Reorder the terms: -1.2 + 0.2x = 9(-5 + x) -1.2 + 0.2x = (-5 * 9 + x * 9) -1.2 + 0.2x = (-45 + 9x) Solving -1.2 + 0.2x = -45 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1.2 + 0.2x + -9x = -45 + 9x + -9x Combine like terms: 0.2x + -9x = -8.8x -1.2 + -8.8x = -45 + 9x + -9x Combine like terms: 9x + -9x = 0 -1.2 + -8.8x = -45 + 0 -1.2 + -8.8x = -45 Add '1.2' to each side of the equation. -1.2 + 1.2 + -8.8x = -45 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + -8.8x = -45 + 1.2 -8.8x = -45 + 1.2 Combine like terms: -45 + 1.2 = -43.8 -8.8x = -43.8 Divide each side by '-8.8'. x = 4.977272727 Simplifying x = 4.977272727
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