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Simplifying 255 = 32(38x + 23) + -21(x + -34) Reorder the terms: 255 = 32(23 + 38x) + -21(x + -34) 255 = (23 * 32 + 38x * 32) + -21(x + -34) 255 = (736 + 1216x) + -21(x + -34) Reorder the terms: 255 = 736 + 1216x + -21(-34 + x) 255 = 736 + 1216x + (-34 * -21 + x * -21) 255 = 736 + 1216x + (714 + -21x) Reorder the terms: 255 = 736 + 714 + 1216x + -21x Combine like terms: 736 + 714 = 1450 255 = 1450 + 1216x + -21x Combine like terms: 1216x + -21x = 1195x 255 = 1450 + 1195x Solving 255 = 1450 + 1195x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1195x' to each side of the equation. 255 + -1195x = 1450 + 1195x + -1195x Combine like terms: 1195x + -1195x = 0 255 + -1195x = 1450 + 0 255 + -1195x = 1450 Add '-255' to each side of the equation. 255 + -255 + -1195x = 1450 + -255 Combine like terms: 255 + -255 = 0 0 + -1195x = 1450 + -255 -1195x = 1450 + -255 Combine like terms: 1450 + -255 = 1195 -1195x = 1195 Divide each side by '-1195'. x = -1 Simplifying x = -1
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