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Simplifying 3 + 0.5(4x + 8) = 9 + -2x Reorder the terms: 3 + 0.5(8 + 4x) = 9 + -2x 3 + (8 * 0.5 + 4x * 0.5) = 9 + -2x 3 + (4 + 2x) = 9 + -2x Combine like terms: 3 + 4 = 7 7 + 2x = 9 + -2x Solving 7 + 2x = 9 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 7 + 2x + 2x = 9 + -2x + 2x Combine like terms: 2x + 2x = 4x 7 + 4x = 9 + -2x + 2x Combine like terms: -2x + 2x = 0 7 + 4x = 9 + 0 7 + 4x = 9 Add '-7' to each side of the equation. 7 + -7 + 4x = 9 + -7 Combine like terms: 7 + -7 = 0 0 + 4x = 9 + -7 4x = 9 + -7 Combine like terms: 9 + -7 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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