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Simplifying 0.1(-17 + -5x) = -0.1x + -0.1 (-17 * 0.1 + -5x * 0.1) = -0.1x + -0.1 (-1.7 + -0.5x) = -0.1x + -0.1 Reorder the terms: -1.7 + -0.5x = -0.1 + -0.1x Solving -1.7 + -0.5x = -0.1 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. -1.7 + -0.5x + 0.1x = -0.1 + -0.1x + 0.1x Combine like terms: -0.5x + 0.1x = -0.4x -1.7 + -0.4x = -0.1 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 -1.7 + -0.4x = -0.1 + 0.0 -1.7 + -0.4x = -0.1 Add '1.7' to each side of the equation. -1.7 + 1.7 + -0.4x = -0.1 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + -0.4x = -0.1 + 1.7 -0.4x = -0.1 + 1.7 Combine like terms: -0.1 + 1.7 = 1.6 -0.4x = 1.6 Divide each side by '-0.4'. x = -4 Simplifying x = -4
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