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Simplifying 5(-5 + x) = 6(x + 0.2) (-5 * 5 + x * 5) = 6(x + 0.2) (-25 + 5x) = 6(x + 0.2) Reorder the terms: -25 + 5x = 6(0.2 + x) -25 + 5x = (0.2 * 6 + x * 6) -25 + 5x = (1.2 + 6x) Solving -25 + 5x = 1.2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -25 + 5x + -6x = 1.2 + 6x + -6x Combine like terms: 5x + -6x = -1x -25 + -1x = 1.2 + 6x + -6x Combine like terms: 6x + -6x = 0 -25 + -1x = 1.2 + 0 -25 + -1x = 1.2 Add '25' to each side of the equation. -25 + 25 + -1x = 1.2 + 25 Combine like terms: -25 + 25 = 0 0 + -1x = 1.2 + 25 -1x = 1.2 + 25 Combine like terms: 1.2 + 25 = 26.2 -1x = 26.2 Divide each side by '-1'. x = -26.2 Simplifying x = -26.2
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