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Simplifying 180 + -1x = 5(0.90 + -1x) + -30 180 + -1x = (0.90 * 5 + -1x * 5) + -30 180 + -1x = (4.5 + -5x) + -30 Reorder the terms: 180 + -1x = 4.5 + -30 + -5x Combine like terms: 4.5 + -30 = -25.5 180 + -1x = -25.5 + -5x Solving 180 + -1x = -25.5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 180 + -1x + 5x = -25.5 + -5x + 5x Combine like terms: -1x + 5x = 4x 180 + 4x = -25.5 + -5x + 5x Combine like terms: -5x + 5x = 0 180 + 4x = -25.5 + 0 180 + 4x = -25.5 Add '-180' to each side of the equation. 180 + -180 + 4x = -25.5 + -180 Combine like terms: 180 + -180 = 0 0 + 4x = -25.5 + -180 4x = -25.5 + -180 Combine like terms: -25.5 + -180 = -205.5 4x = -205.5 Divide each side by '4'. x = -51.375 Simplifying x = -51.375
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