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Simplifying 0.5(x + 5) + 3 = 0.25(7x + -11) + -18 Reorder the terms: 0.5(5 + x) + 3 = 0.25(7x + -11) + -18 (5 * 0.5 + x * 0.5) + 3 = 0.25(7x + -11) + -18 (2.5 + 0.5x) + 3 = 0.25(7x + -11) + -18 Reorder the terms: 2.5 + 3 + 0.5x = 0.25(7x + -11) + -18 Combine like terms: 2.5 + 3 = 5.5 5.5 + 0.5x = 0.25(7x + -11) + -18 Reorder the terms: 5.5 + 0.5x = 0.25(-11 + 7x) + -18 5.5 + 0.5x = (-11 * 0.25 + 7x * 0.25) + -18 5.5 + 0.5x = (-2.75 + 1.75x) + -18 Reorder the terms: 5.5 + 0.5x = -2.75 + -18 + 1.75x Combine like terms: -2.75 + -18 = -20.75 5.5 + 0.5x = -20.75 + 1.75x Solving 5.5 + 0.5x = -20.75 + 1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75x' to each side of the equation. 5.5 + 0.5x + -1.75x = -20.75 + 1.75x + -1.75x Combine like terms: 0.5x + -1.75x = -1.25x 5.5 + -1.25x = -20.75 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 5.5 + -1.25x = -20.75 + 0.00 5.5 + -1.25x = -20.75 Add '-5.5' to each side of the equation. 5.5 + -5.5 + -1.25x = -20.75 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + -1.25x = -20.75 + -5.5 -1.25x = -20.75 + -5.5 Combine like terms: -20.75 + -5.5 = -26.25 -1.25x = -26.25 Divide each side by '-1.25'. x = 21 Simplifying x = 21
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