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Simplifying 5 + 2.5(x + 2) = 4.5x + -4 Reorder the terms: 5 + 2.5(2 + x) = 4.5x + -4 5 + (2 * 2.5 + x * 2.5) = 4.5x + -4 5 + (5 + 2.5x) = 4.5x + -4 Combine like terms: 5 + 5 = 10 10 + 2.5x = 4.5x + -4 Reorder the terms: 10 + 2.5x = -4 + 4.5x Solving 10 + 2.5x = -4 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 10 + 2.5x + -4.5x = -4 + 4.5x + -4.5x Combine like terms: 2.5x + -4.5x = -2x 10 + -2x = -4 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 10 + -2x = -4 + 0.0 10 + -2x = -4 Add '-10' to each side of the equation. 10 + -10 + -2x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -2x = -4 + -10 -2x = -4 + -10 Combine like terms: -4 + -10 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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