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Simplifying 36(30 + -5.5x) = 11(5x + -8) + 29.5 (30 * 36 + -5.5x * 36) = 11(5x + -8) + 29.5 (1080 + -198x) = 11(5x + -8) + 29.5 Reorder the terms: 1080 + -198x = 11(-8 + 5x) + 29.5 1080 + -198x = (-8 * 11 + 5x * 11) + 29.5 1080 + -198x = (-88 + 55x) + 29.5 Reorder the terms: 1080 + -198x = -88 + 29.5 + 55x Combine like terms: -88 + 29.5 = -58.5 1080 + -198x = -58.5 + 55x Solving 1080 + -198x = -58.5 + 55x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-55x' to each side of the equation. 1080 + -198x + -55x = -58.5 + 55x + -55x Combine like terms: -198x + -55x = -253x 1080 + -253x = -58.5 + 55x + -55x Combine like terms: 55x + -55x = 0 1080 + -253x = -58.5 + 0 1080 + -253x = -58.5 Add '-1080' to each side of the equation. 1080 + -1080 + -253x = -58.5 + -1080 Combine like terms: 1080 + -1080 = 0 0 + -253x = -58.5 + -1080 -253x = -58.5 + -1080 Combine like terms: -58.5 + -1080 = -1138.5 -253x = -1138.5 Divide each side by '-253'. x = 4.5 Simplifying x = 4.5
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