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Simplifying 0.5(x + 4) + 3 = 2x(4.5 + 7.5) Reorder the terms: 0.5(4 + x) + 3 = 2x(4.5 + 7.5) (4 * 0.5 + x * 0.5) + 3 = 2x(4.5 + 7.5) (2 + 0.5x) + 3 = 2x(4.5 + 7.5) Reorder the terms: 2 + 3 + 0.5x = 2x(4.5 + 7.5) Combine like terms: 2 + 3 = 5 5 + 0.5x = 2x(4.5 + 7.5) Combine like terms: 4.5 + 7.5 = 12 5 + 0.5x = 2x(12) Reorder the terms for easier multiplication: 5 + 0.5x = 2 * 12x Multiply 2 * 12 5 + 0.5x = 24x Solving 5 + 0.5x = 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 5 + 0.5x + -24x = 24x + -24x Combine like terms: 0.5x + -24x = -23.5x 5 + -23.5x = 24x + -24x Combine like terms: 24x + -24x = 0 5 + -23.5x = 0 Add '-5' to each side of the equation. 5 + -5 + -23.5x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -23.5x = 0 + -5 -23.5x = 0 + -5 Combine like terms: 0 + -5 = -5 -23.5x = -5 Divide each side by '-23.5'. x = 0.2127659574 Simplifying x = 0.2127659574
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