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Simplifying 0.2(1x + -8) = 1x + -16 Reorder the terms: 0.2(-8 + 1x) = 1x + -16 (-8 * 0.2 + 1x * 0.2) = 1x + -16 (-1.6 + 0.2x) = 1x + -16 Reorder the terms: -1.6 + 0.2x = -16 + 1x Solving -1.6 + 0.2x = -16 + 1x 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. -1.6 + 0.2x + -1x = -16 + 1x + -1x Combine like terms: 0.2x + -1x = -0.8x -1.6 + -0.8x = -16 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.6 + -0.8x = -16 + 0 -1.6 + -0.8x = -16 Add '1.6' to each side of the equation. -1.6 + 1.6 + -0.8x = -16 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -0.8x = -16 + 1.6 -0.8x = -16 + 1.6 Combine like terms: -16 + 1.6 = -14.4 -0.8x = -14.4 Divide each side by '-0.8'. x = 18 Simplifying x = 18
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