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Simplifying (0.5x) + (t + 65) = 500 Reorder the terms: (0.5x) + (65 + t) = 500 Remove parenthesis around (65 + t) (0.5x) + 65 + t = 500 Reorder the terms: 65 + t + (0.5x) = 500 Solving 65 + t + (0.5x) = 500 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-65' to each side of the equation. 65 + t + -65 + (0.5x) = 500 + -65 Reorder the terms: 65 + -65 + t + (0.5x) = 500 + -65 Combine like terms: 65 + -65 = 0 0 + t + (0.5x) = 500 + -65 t + (0.5x) = 500 + -65 Combine like terms: 500 + -65 = 435 t + (0.5x) = 435 Add '(-0.5x)' to each side of the equation. t + (0.5x) + (-0.5x) = 435 + (-0.5x) Combine like terms: (0.5x) + (-0.5x) = 0.0 t + 0.0 = 435 + (-0.5x) t = 435 + (-0.5x) Simplifying t = 435 + (-0.5x)
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