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Simplifying 0.2(x + -5) = (x + 5) Reorder the terms: 0.2(-5 + x) = (x + 5) (-5 * 0.2 + x * 0.2) = (x + 5) (-1 + 0.2x) = (x + 5) Reorder the terms: -1 + 0.2x = (5 + x) Remove parenthesis around (5 + x) -1 + 0.2x = 5 + x Solving -1 + 0.2x = 5 + x 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. -1 + 0.2x + -1x = 5 + x + -1x Combine like terms: 0.2x + -1x = -0.8x -1 + -0.8x = 5 + x + -1x Combine like terms: x + -1x = 0 -1 + -0.8x = 5 + 0 -1 + -0.8x = 5 Add '1' to each side of the equation. -1 + 1 + -0.8x = 5 + 1 Combine like terms: -1 + 1 = 0 0 + -0.8x = 5 + 1 -0.8x = 5 + 1 Combine like terms: 5 + 1 = 6 -0.8x = 6 Divide each side by '-0.8'. x = -7.5 Simplifying x = -7.5
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