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Simplifying 0.5(x + 4) + 3 = 2x(4.5 + 0.75) Reorder the terms: 0.5(4 + x) + 3 = 2x(4.5 + 0.75) (4 * 0.5 + x * 0.5) + 3 = 2x(4.5 + 0.75) (2 + 0.5x) + 3 = 2x(4.5 + 0.75) Reorder the terms: 2 + 3 + 0.5x = 2x(4.5 + 0.75) Combine like terms: 2 + 3 = 5 5 + 0.5x = 2x(4.5 + 0.75) Combine like terms: 4.5 + 0.75 = 5.25 5 + 0.5x = 2x(5.25) Reorder the terms for easier multiplication: 5 + 0.5x = 2 * 5.25x Multiply 2 * 5.25 5 + 0.5x = 10.5x Solving 5 + 0.5x = 10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10.5x' to each side of the equation. 5 + 0.5x + -10.5x = 10.5x + -10.5x Combine like terms: 0.5x + -10.5x = -10x 5 + -10x = 10.5x + -10.5x Combine like terms: 10.5x + -10.5x = 0.0 5 + -10x = 0.0 Add '-5' to each side of the equation. 5 + -5 + -10x = 0.0 + -5 Combine like terms: 5 + -5 = 0 0 + -10x = 0.0 + -5 -10x = 0.0 + -5 Combine like terms: 0.0 + -5 = -5 -10x = -5 Divide each side by '-10'. x = 0.5 Simplifying x = 0.5
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