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Simplifying 4.5(x + 1) = 2(x + 1) Reorder the terms: 4.5(1 + x) = 2(x + 1) (1 * 4.5 + x * 4.5) = 2(x + 1) (4.5 + 4.5x) = 2(x + 1) Reorder the terms: 4.5 + 4.5x = 2(1 + x) 4.5 + 4.5x = (1 * 2 + x * 2) 4.5 + 4.5x = (2 + 2x) Solving 4.5 + 4.5x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4.5 + 4.5x + -2x = 2 + 2x + -2x Combine like terms: 4.5x + -2x = 2.5x 4.5 + 2.5x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 4.5 + 2.5x = 2 + 0 4.5 + 2.5x = 2 Add '-4.5' to each side of the equation. 4.5 + -4.5 + 2.5x = 2 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 2.5x = 2 + -4.5 2.5x = 2 + -4.5 Combine like terms: 2 + -4.5 = -2.5 2.5x = -2.5 Divide each side by '2.5'. x = -1 Simplifying x = -1
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