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Simplifying 4.5(x + 1) + 2(x + 1) = 0 Reorder the terms: 4.5(1 + x) + 2(x + 1) = 0 (1 * 4.5 + x * 4.5) + 2(x + 1) = 0 (4.5 + 4.5x) + 2(x + 1) = 0 Reorder the terms: 4.5 + 4.5x + 2(1 + x) = 0 4.5 + 4.5x + (1 * 2 + x * 2) = 0 4.5 + 4.5x + (2 + 2x) = 0 Reorder the terms: 4.5 + 2 + 4.5x + 2x = 0 Combine like terms: 4.5 + 2 = 6.5 6.5 + 4.5x + 2x = 0 Combine like terms: 4.5x + 2x = 6.5x 6.5 + 6.5x = 0 Solving 6.5 + 6.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.5' to each side of the equation. 6.5 + -6.5 + 6.5x = 0 + -6.5 Combine like terms: 6.5 + -6.5 = 0.0 0.0 + 6.5x = 0 + -6.5 6.5x = 0 + -6.5 Combine like terms: 0 + -6.5 = -6.5 6.5x = -6.5 Divide each side by '6.5'. x = -1 Simplifying x = -1
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