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Simplifying 0.4x + -7.5(x + -1) = 43 Reorder the terms: 0.4x + -7.5(-1 + x) = 43 0.4x + (-1 * -7.5 + x * -7.5) = 43 0.4x + (7.5 + -7.5x) = 43 Reorder the terms: 7.5 + 0.4x + -7.5x = 43 Combine like terms: 0.4x + -7.5x = -7.1x 7.5 + -7.1x = 43 Solving 7.5 + -7.1x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5' to each side of the equation. 7.5 + -7.5 + -7.1x = 43 + -7.5 Combine like terms: 7.5 + -7.5 = 0.0 0.0 + -7.1x = 43 + -7.5 -7.1x = 43 + -7.5 Combine like terms: 43 + -7.5 = 35.5 -7.1x = 35.5 Divide each side by '-7.1'. x = -5 Simplifying x = -5
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