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Simplifying -0.2(x + 1) = 4 + -17x Reorder the terms: -0.2(1 + x) = 4 + -17x (1 * -0.2 + x * -0.2) = 4 + -17x (-0.2 + -0.2x) = 4 + -17x Solving -0.2 + -0.2x = 4 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -0.2 + -0.2x + 17x = 4 + -17x + 17x Combine like terms: -0.2x + 17x = 16.8x -0.2 + 16.8x = 4 + -17x + 17x Combine like terms: -17x + 17x = 0 -0.2 + 16.8x = 4 + 0 -0.2 + 16.8x = 4 Add '0.2' to each side of the equation. -0.2 + 0.2 + 16.8x = 4 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + 16.8x = 4 + 0.2 16.8x = 4 + 0.2 Combine like terms: 4 + 0.2 = 4.2 16.8x = 4.2 Divide each side by '16.8'. x = 0.25 Simplifying x = 0.25
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