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Simplifying 5 + -1(9 + -6x) = 0.2x + 1.8 5 + (9 * -1 + -6x * -1) = 0.2x + 1.8 5 + (-9 + 6x) = 0.2x + 1.8 Combine like terms: 5 + -9 = -4 -4 + 6x = 0.2x + 1.8 Reorder the terms: -4 + 6x = 1.8 + 0.2x Solving -4 + 6x = 1.8 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -4 + 6x + -0.2x = 1.8 + 0.2x + -0.2x Combine like terms: 6x + -0.2x = 5.8x -4 + 5.8x = 1.8 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -4 + 5.8x = 1.8 + 0.0 -4 + 5.8x = 1.8 Add '4' to each side of the equation. -4 + 4 + 5.8x = 1.8 + 4 Combine like terms: -4 + 4 = 0 0 + 5.8x = 1.8 + 4 5.8x = 1.8 + 4 Combine like terms: 1.8 + 4 = 5.8 5.8x = 5.8 Divide each side by '5.8'. x = 1 Simplifying x = 1
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