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Simplifying 4x + -4.5 = 0.5 + 2.5(x + 4) Reorder the terms: -4.5 + 4x = 0.5 + 2.5(x + 4) Reorder the terms: -4.5 + 4x = 0.5 + 2.5(4 + x) -4.5 + 4x = 0.5 + (4 * 2.5 + x * 2.5) -4.5 + 4x = 0.5 + (10 + 2.5x) Combine like terms: 0.5 + 10 = 10.5 -4.5 + 4x = 10.5 + 2.5x Solving -4.5 + 4x = 10.5 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -4.5 + 4x + -2.5x = 10.5 + 2.5x + -2.5x Combine like terms: 4x + -2.5x = 1.5x -4.5 + 1.5x = 10.5 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -4.5 + 1.5x = 10.5 + 0.0 -4.5 + 1.5x = 10.5 Add '4.5' to each side of the equation. -4.5 + 4.5 + 1.5x = 10.5 + 4.5 Combine like terms: -4.5 + 4.5 = 0.0 0.0 + 1.5x = 10.5 + 4.5 1.5x = 10.5 + 4.5 Combine like terms: 10.5 + 4.5 = 15 1.5x = 15 Divide each side by '1.5'. x = 10 Simplifying x = 10
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