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Simplifying (69 + -1x) = 0.75[78 + -1(x + 1)] Remove parenthesis around (69 + -1x) 69 + -1x = 0.75[78 + -1(x + 1)] Reorder the terms: 69 + -1x = 0.75[78 + -1(1 + x)] 69 + -1x = 0.75[78 + (1 * -1 + x * -1)] 69 + -1x = 0.75[78 + (-1 + -1x)] Combine like terms: 78 + -1 = 77 69 + -1x = 0.75[77 + -1x] 69 + -1x = [77 * 0.75 + -1x * 0.75] 69 + -1x = [57.75 + -0.75x] Solving 69 + -1x = 57.75 + -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. 69 + -1x + 0.75x = 57.75 + -0.75x + 0.75x Combine like terms: -1x + 0.75x = -0.25x 69 + -0.25x = 57.75 + -0.75x + 0.75x Combine like terms: -0.75x + 0.75x = 0.00 69 + -0.25x = 57.75 + 0.00 69 + -0.25x = 57.75 Add '-69' to each side of the equation. 69 + -69 + -0.25x = 57.75 + -69 Combine like terms: 69 + -69 = 0 0 + -0.25x = 57.75 + -69 -0.25x = 57.75 + -69 Combine like terms: 57.75 + -69 = -11.25 -0.25x = -11.25 Divide each side by '-0.25'. x = 45 Simplifying x = 45
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