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Simplifying 0.16(6 + -1x) = 27 + 2x (6 * 0.16 + -1x * 0.16) = 27 + 2x (0.96 + -0.16x) = 27 + 2x Solving 0.96 + -0.16x = 27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.96 + -0.16x + -2x = 27 + 2x + -2x Combine like terms: -0.16x + -2x = -2.16x 0.96 + -2.16x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 0.96 + -2.16x = 27 + 0 0.96 + -2.16x = 27 Add '-0.96' to each side of the equation. 0.96 + -0.96 + -2.16x = 27 + -0.96 Combine like terms: 0.96 + -0.96 = 0.00 0.00 + -2.16x = 27 + -0.96 -2.16x = 27 + -0.96 Combine like terms: 27 + -0.96 = 26.04 -2.16x = 26.04 Divide each side by '-2.16'. x = -12.05555556 Simplifying x = -12.05555556
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