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Simplifying 1 + -0.2x = -0.8(5 + x) 1 + -0.2x = (5 * -0.8 + x * -0.8) 1 + -0.2x = (-4 + -0.8x) Solving 1 + -0.2x = -4 + -0.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.8x' to each side of the equation. 1 + -0.2x + 0.8x = -4 + -0.8x + 0.8x Combine like terms: -0.2x + 0.8x = 0.6x 1 + 0.6x = -4 + -0.8x + 0.8x Combine like terms: -0.8x + 0.8x = 0.0 1 + 0.6x = -4 + 0.0 1 + 0.6x = -4 Add '-1' to each side of the equation. 1 + -1 + 0.6x = -4 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6x = -4 + -1 0.6x = -4 + -1 Combine like terms: -4 + -1 = -5 0.6x = -5 Divide each side by '0.6'. x = -8.333333333 Simplifying x = -8.333333333
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