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Simplifying -1.6 = 10(x) + -27(1 + -1x) -1.6 = 10x + (1 * -27 + -1x * -27) -1.6 = 10x + (-27 + 27x) Reorder the terms: -1.6 = -27 + 10x + 27x Combine like terms: 10x + 27x = 37x -1.6 = -27 + 37x Solving -1.6 = -27 + 37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-37x' to each side of the equation. -1.6 + -37x = -27 + 37x + -37x Combine like terms: 37x + -37x = 0 -1.6 + -37x = -27 + 0 -1.6 + -37x = -27 Add '1.6' to each side of the equation. -1.6 + 1.6 + -37x = -27 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -37x = -27 + 1.6 -37x = -27 + 1.6 Combine like terms: -27 + 1.6 = -25.4 -37x = -25.4 Divide each side by '-37'. x = 0.6864864865 Simplifying x = 0.6864864865
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