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Simplifying 1 = 0.1x + -0.7x + -47 Reorder the terms: 1 = -47 + 0.1x + -0.7x Combine like terms: 0.1x + -0.7x = -0.6x 1 = -47 + -0.6x Solving 1 = -47 + -0.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.6x' to each side of the equation. 1 + 0.6x = -47 + -0.6x + 0.6x Combine like terms: -0.6x + 0.6x = 0.0 1 + 0.6x = -47 + 0.0 1 + 0.6x = -47 Add '-1' to each side of the equation. 1 + -1 + 0.6x = -47 + -1 Combine like terms: 1 + -1 = 0 0 + 0.6x = -47 + -1 0.6x = -47 + -1 Combine like terms: -47 + -1 = -48 0.6x = -48 Divide each side by '0.6'. x = -80 Simplifying x = -80
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