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Simplifying (96 + 2x) * 0.5 = 80 + -3x Reorder the terms for easier multiplication: 0.5(96 + 2x) = 80 + -3x (96 * 0.5 + 2x * 0.5) = 80 + -3x (48 + 1x) = 80 + -3x Solving 48 + 1x = 80 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 48 + 1x + 3x = 80 + -3x + 3x Combine like terms: 1x + 3x = 4x 48 + 4x = 80 + -3x + 3x Combine like terms: -3x + 3x = 0 48 + 4x = 80 + 0 48 + 4x = 80 Add '-48' to each side of the equation. 48 + -48 + 4x = 80 + -48 Combine like terms: 48 + -48 = 0 0 + 4x = 80 + -48 4x = 80 + -48 Combine like terms: 80 + -48 = 32 4x = 32 Divide each side by '4'. x = 8 Simplifying x = 8
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