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Simplifying 3 + -0.50(4 + -1x) = 2 + 0.75(5 + x) 3 + (4 * -0.50 + -1x * -0.50) = 2 + 0.75(5 + x) 3 + (-2 + 0.5x) = 2 + 0.75(5 + x) Combine like terms: 3 + -2 = 1 1 + 0.5x = 2 + 0.75(5 + x) 1 + 0.5x = 2 + (5 * 0.75 + x * 0.75) 1 + 0.5x = 2 + (3.75 + 0.75x) Combine like terms: 2 + 3.75 = 5.75 1 + 0.5x = 5.75 + 0.75x Solving 1 + 0.5x = 5.75 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. 1 + 0.5x + -0.75x = 5.75 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x 1 + -0.25x = 5.75 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 1 + -0.25x = 5.75 + 0.00 1 + -0.25x = 5.75 Add '-1' to each side of the equation. 1 + -1 + -0.25x = 5.75 + -1 Combine like terms: 1 + -1 = 0 0 + -0.25x = 5.75 + -1 -0.25x = 5.75 + -1 Combine like terms: 5.75 + -1 = 4.75 -0.25x = 4.75 Divide each side by '-0.25'. x = -19 Simplifying x = -19
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