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Simplifying 0.5(x + 4) + 3 = 2x(0.22 + 0.75) Reorder the terms: 0.5(4 + x) + 3 = 2x(0.22 + 0.75) (4 * 0.5 + x * 0.5) + 3 = 2x(0.22 + 0.75) (2 + 0.5x) + 3 = 2x(0.22 + 0.75) Reorder the terms: 2 + 3 + 0.5x = 2x(0.22 + 0.75) Combine like terms: 2 + 3 = 5 5 + 0.5x = 2x(0.22 + 0.75) Combine like terms: 0.22 + 0.75 = 0.97 5 + 0.5x = 2x(0.97) Reorder the terms for easier multiplication: 5 + 0.5x = 2 * 0.97x Multiply 2 * 0.97 5 + 0.5x = 1.94x Solving 5 + 0.5x = 1.94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.94x' to each side of the equation. 5 + 0.5x + -1.94x = 1.94x + -1.94x Combine like terms: 0.5x + -1.94x = -1.44x 5 + -1.44x = 1.94x + -1.94x Combine like terms: 1.94x + -1.94x = 0.00 5 + -1.44x = 0.00 Add '-5' to each side of the equation. 5 + -5 + -1.44x = 0.00 + -5 Combine like terms: 5 + -5 = 0 0 + -1.44x = 0.00 + -5 -1.44x = 0.00 + -5 Combine like terms: 0.00 + -5 = -5 -1.44x = -5 Divide each side by '-1.44'. x = 3.472222222 Simplifying x = 3.472222222
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