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Simplifying 1 = 0.5x + -0.6x + -6 Reorder the terms: 1 = -6 + 0.5x + -0.6x Combine like terms: 0.5x + -0.6x = -0.1x 1 = -6 + -0.1x Solving 1 = -6 + -0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1x' to each side of the equation. 1 + 0.1x = -6 + -0.1x + 0.1x Combine like terms: -0.1x + 0.1x = 0.0 1 + 0.1x = -6 + 0.0 1 + 0.1x = -6 Add '-1' to each side of the equation. 1 + -1 + 0.1x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 0.1x = -6 + -1 0.1x = -6 + -1 Combine like terms: -6 + -1 = -7 0.1x = -7 Divide each side by '0.1'. x = -70 Simplifying x = -70
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