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Simplifying 5(x + 1) = -45 + 4x Reorder the terms: 5(1 + x) = -45 + 4x (1 * 5 + x * 5) = -45 + 4x (5 + 5x) = -45 + 4x Solving 5 + 5x = -45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 5 + 5x + -4x = -45 + 4x + -4x Combine like terms: 5x + -4x = 1x 5 + 1x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 5 + 1x = -45 + 0 5 + 1x = -45 Add '-5' to each side of the equation. 5 + -5 + 1x = -45 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = -45 + -5 1x = -45 + -5 Combine like terms: -45 + -5 = -50 1x = -50 Divide each side by '1'. x = -50 Simplifying x = -50
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